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Let \(H({\mathbb D})\) be the space of analytic functions on the unit disk \({\mathbb D}\). For \(p\in(1,\infty)\), \(\alpha\in(-2,\infty)\) and \(\beta\in[0,\infty)\), \(g\in H({\mathbb D})\) belongs to the space \(F(p,\alpha,\beta)\) if
\[
\| g\|_{F(p,\alpha,\beta)}=\sup_{a\in D}\left(\int_\mathbb D| g'(z)| ^{p}(1... | 1 |
Let \(H({\mathbb D})\) be the space of analytic functions on the unit disk \({\mathbb D}\). For \(p\in(1,\infty)\), \(\alpha\in(-2,\infty)\) and \(\beta\in[0,\infty)\), \(g\in H({\mathbb D})\) belongs to the space \(F(p,\alpha,\beta)\) if
\[
\| g\|_{F(p,\alpha,\beta)}=\sup_{a\in D}\left(\int_\mathbb D| g'(z)| ^{p}(1... | 0 |
The paper aims to establish generic properties of collapse in the one-dimensional nonlinear Schrödinger equation with the self-focusing quintic nonlinearity,
\[
i\psi_t + \psi_{xx} + |\psi|^4\psi = 0.
\]
It is commonly known that this equation has a family of soliton solutions generated by initial configuration
\[... | 1 |
The paper aims to establish generic properties of collapse in the one-dimensional nonlinear Schrödinger equation with the self-focusing quintic nonlinearity,
\[
i\psi_t + \psi_{xx} + |\psi|^4\psi = 0.
\]
It is commonly known that this equation has a family of soliton solutions generated by initial configuration
\[... | 0 |
The paper studies the variance of the first-passage time \(\tau(0,x)\) from \(0\) to \(x\in\mathbb Z^d\) in the percolation model on the lattice \(\mathbb Z^d\), defined by
\[
\tau(0,x)=\inf_{\gamma:0\rightarrow x}\sum_{e\in\gamma} t_e.
\]
In the above definition, \(\gamma=(v_0=0,e_0,v_1,\dots,e_N,v_N=x)\) is the lat... | 1 |
The paper studies the variance of the first-passage time \(\tau(0,x)\) from \(0\) to \(x\in\mathbb Z^d\) in the percolation model on the lattice \(\mathbb Z^d\), defined by
\[
\tau(0,x)=\inf_{\gamma:0\rightarrow x}\sum_{e\in\gamma} t_e.
\]
In the above definition, \(\gamma=(v_0=0,e_0,v_1,\dots,e_N,v_N=x)\) is the lat... | 0 |
Just as the computation of the stable stems is one of the fundamental questions in algebraic topology, the homotopy groups of the \(C_2\)-equivariant and \(\mathbb{R}\)-motivic stable stems are fundamental to \(C_2\)-equivariant and \(\mathbb{R}\)-motivic homotopy theory. These computations also give additional informa... | 1 |
Just as the computation of the stable stems is one of the fundamental questions in algebraic topology, the homotopy groups of the \(C_2\)-equivariant and \(\mathbb{R}\)-motivic stable stems are fundamental to \(C_2\)-equivariant and \(\mathbb{R}\)-motivic homotopy theory. These computations also give additional informa... | 0 |
In the paper the properties of self-iterating Lie algebras introduced in [\textit{V. M. Petrogradsky}, J. Algebra. 302, No. 2, 881--886 (2006; Zbl 1109.17008)] are studied. Let \(K\) be a field of characteristic \(p>0\) \(R=K[t_i | i\in \mathbb {N}]/(t_i^p, i\in \mathbb{N})\) the truncated polynomial algebra over \(K\)... | 1 |
In the paper the properties of self-iterating Lie algebras introduced in [\textit{V. M. Petrogradsky}, J. Algebra. 302, No. 2, 881--886 (2006; Zbl 1109.17008)] are studied. Let \(K\) be a field of characteristic \(p>0\) \(R=K[t_i | i\in \mathbb {N}]/(t_i^p, i\in \mathbb{N})\) the truncated polynomial algebra over \(K\)... | 0 |
As part of the programme of understanding the classification of finite simple groups geometrically, one wishes to classify all flag-transitive \(P\)-geometries, that is geometries whose rank 2 part consists of the vertices and edges of the Petersen graph [see \textit{A. A. Ivanov} and the author, Eur. J. Comb. 10, No. ... | 1 |
As part of the programme of understanding the classification of finite simple groups geometrically, one wishes to classify all flag-transitive \(P\)-geometries, that is geometries whose rank 2 part consists of the vertices and edges of the Petersen graph [see \textit{A. A. Ivanov} and the author, Eur. J. Comb. 10, No. ... | 0 |
Recall some definitions:
1. \textit{Hirzebruch surface} is a projective bundle of rank \(1\) over the projective line, i.e. one may take \(F_e:={\mathbb P}({\mathcal O}_{{\mathbb P}^1} \oplus {\mathcal O}_{{\mathbb P}^1}(-e))\) with \(e \geq 0\).
2. \textit{prioritary sheaf} (defined by \textit{A. Hirschowitz} and... | 1 |
Recall some definitions:
1. \textit{Hirzebruch surface} is a projective bundle of rank \(1\) over the projective line, i.e. one may take \(F_e:={\mathbb P}({\mathcal O}_{{\mathbb P}^1} \oplus {\mathcal O}_{{\mathbb P}^1}(-e))\) with \(e \geq 0\).
2. \textit{prioritary sheaf} (defined by \textit{A. Hirschowitz} and... | 0 |
Some Marcinkiewicz-Zygmund-Burkholder-Gundy inequalities are obtained for stopped random walks. [A further reference is the reviewer's book, Stopped random walks. Limit theorems and applications. (1988; Zbl 0634.60061), in particular Section I.5.] This clearly written book, useful for researcher and student and contain... | 1 |
Some Marcinkiewicz-Zygmund-Burkholder-Gundy inequalities are obtained for stopped random walks. [A further reference is the reviewer's book, Stopped random walks. Limit theorems and applications. (1988; Zbl 0634.60061), in particular Section I.5.] A new method for the construction of a partial order on the set of multi... | 0 |
This note is devoted to the topological classification problem and to the study of the itineraries for Lorenz maps on the interval. Extending results by \textit{J. H. Hubbard and C. T. Sparrow} [Commun. Pure Appl. Math. 43, 431-444 (1990; Zbl 0714.58041] the author first studies in detail Lorenz maps \(f\) with one dis... | 1 |
This note is devoted to the topological classification problem and to the study of the itineraries for Lorenz maps on the interval. Extending results by \textit{J. H. Hubbard and C. T. Sparrow} [Commun. Pure Appl. Math. 43, 431-444 (1990; Zbl 0714.58041] the author first studies in detail Lorenz maps \(f\) with one dis... | 0 |
Quasi-quadrics are introduced in [\textit{F. De Clerck, N. Hamilton, C. M. O'Keef} and \textit{T. Penttila}, Australas. J. Comb. 22, 151--166 (2000; Zbl 0970.51011)].
A set of points \(\mathcal H\) in \(PG(n,q^2)\) is called quasi-Hermitian variety, if it has the same intersection numbers with respect to hyperplanes a... | 1 |
Quasi-quadrics are introduced in [\textit{F. De Clerck, N. Hamilton, C. M. O'Keef} and \textit{T. Penttila}, Australas. J. Comb. 22, 151--166 (2000; Zbl 0970.51011)].
A set of points \(\mathcal H\) in \(PG(n,q^2)\) is called quasi-Hermitian variety, if it has the same intersection numbers with respect to hyperplanes a... | 0 |
This is the fourth of a series of papers by the authors devoted to the study of the stability of general molecular systems in Thomas-Fermi or Hartree type models. In the preceding parts [for part III, cf. ibid., No. 3-4, 381-429 (1993; Zbl 0797.46053)] the authors proved that neutral molecules are stable if and only if... | 1 |
This is the fourth of a series of papers by the authors devoted to the study of the stability of general molecular systems in Thomas-Fermi or Hartree type models. In the preceding parts [for part III, cf. ibid., No. 3-4, 381-429 (1993; Zbl 0797.46053)] the authors proved that neutral molecules are stable if and only if... | 0 |
The motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity is analyzed. In the paper, following the methodology of \textit{D. Coutand} and \textit{S. Shkoller} [J. Am. Math. Soc. 20, No. 3, 829--930 (2007; Zbl 1123.35038)], the well-posedness for short time of this problem is p... | 1 |
The motion of vortex sheets with surface tension in three-dimensional Euler equations with vorticity is analyzed. In the paper, following the methodology of \textit{D. Coutand} and \textit{S. Shkoller} [J. Am. Math. Soc. 20, No. 3, 829--930 (2007; Zbl 1123.35038)], the well-posedness for short time of this problem is p... | 0 |
My colleagues and I once created a mathematical model to explore the communication behavior of a mesh based network [\textit{Z.-S. Shen}, \textit{P. Drexel} and \textit{L. Urbach}, Math. Comput. Modelling 18, No. 12, 33-48 (1993; Zbl 0805.68013)], by using such mathematical and logic notations as first-order logic, lin... | 1 |
My colleagues and I once created a mathematical model to explore the communication behavior of a mesh based network [\textit{Z.-S. Shen}, \textit{P. Drexel} and \textit{L. Urbach}, Math. Comput. Modelling 18, No. 12, 33-48 (1993; Zbl 0805.68013)], by using such mathematical and logic notations as first-order logic, lin... | 0 |
Let \(p\) be a prime, let \((K,\mathcal O,k)\) be a splitting \(p\)-modular system for the subgroups of a finite group \(G\), and let \(\mathcal OG\)-mod denote the category of finitely generated left \(\mathcal OG\)-modules. For a \(p\)-subgroup \(P\) of \(G\) and a subgroup \(H\) of \(G\) containing \(N_G(P)\), the G... | 1 |
Let \(p\) be a prime, let \((K,\mathcal O,k)\) be a splitting \(p\)-modular system for the subgroups of a finite group \(G\), and let \(\mathcal OG\)-mod denote the category of finitely generated left \(\mathcal OG\)-modules. For a \(p\)-subgroup \(P\) of \(G\) and a subgroup \(H\) of \(G\) containing \(N_G(P)\), the G... | 0 |
The purpose of this paper is to study, in the presence of \(\Gamma\)-symmetry, the existence of the nonstationary periodic solutions \(x:\mathbb{R} \rightarrow V\) of the following autonomous Newtonian system \(\ddot{x}=- \nabla \varphi(x), x(0)=x(2\pi),\dot{x}(0)=\dot{x}(2\pi),\) where \(\varphi :V \rightarrow \mathbb... | 1 |
The purpose of this paper is to study, in the presence of \(\Gamma\)-symmetry, the existence of the nonstationary periodic solutions \(x:\mathbb{R} \rightarrow V\) of the following autonomous Newtonian system \(\ddot{x}=- \nabla \varphi(x), x(0)=x(2\pi),\dot{x}(0)=\dot{x}(2\pi),\) where \(\varphi :V \rightarrow \mathbb... | 0 |
The authors give a new representation for the heat propagator \(e^{-uL}\) corresponding to the sub-Laplacian \(L\) on the Heisenberg group \(\mathbb H=\mathbb C\times \mathbb R\). The representation is used to obtain estimates for the action of \(e^{-uL}\) in the scale of Sobolev type spaces. The approach is based on t... | 1 |
The authors give a new representation for the heat propagator \(e^{-uL}\) corresponding to the sub-Laplacian \(L\) on the Heisenberg group \(\mathbb H=\mathbb C\times \mathbb R\). The representation is used to obtain estimates for the action of \(e^{-uL}\) in the scale of Sobolev type spaces. The approach is based on t... | 0 |
To solve the algebraic equations arising from implicit methods applied to initial value problems in ordinary differential equations, an iterative method is usually invoked, and some variant of Newton's method is often used. To develop criteria for stopping the sequence of Newton's iterates, knowledge of its rate of con... | 1 |
To solve the algebraic equations arising from implicit methods applied to initial value problems in ordinary differential equations, an iterative method is usually invoked, and some variant of Newton's method is often used. To develop criteria for stopping the sequence of Newton's iterates, knowledge of its rate of con... | 0 |
In the paper [``A topological mean value theorem for the plane,'' Am. Math. Mon. 98, No.~2, 149--154 (1991; Zbl 0741.26003)], \textit{I. Rosenholtz} used the Jordan Curve Theorem for the Euclidean plane to prove the theorem of the title. The present authors prove a corresponding theorem which also holds for non-Jordan ... | 1 |
In the paper [``A topological mean value theorem for the plane,'' Am. Math. Mon. 98, No.~2, 149--154 (1991; Zbl 0741.26003)], \textit{I. Rosenholtz} used the Jordan Curve Theorem for the Euclidean plane to prove the theorem of the title. The present authors prove a corresponding theorem which also holds for non-Jordan ... | 0 |
In several cases there is a relation among the deformation theory of double covers of a variety embedded in a projective space (and namely the existence of small deformations which are embeddings), and the existence of certain double structures on it, see e.g [\textit{L.-Y. Fong}, J. Algebr. Geom. 2, No. 2, 295--307 (1... | 1 |
In several cases there is a relation among the deformation theory of double covers of a variety embedded in a projective space (and namely the existence of small deformations which are embeddings), and the existence of certain double structures on it, see e.g [\textit{L.-Y. Fong}, J. Algebr. Geom. 2, No. 2, 295--307 (1... | 0 |
The authors give sufficient conditions in order that the following system of Voltera-Hammerstein nonlinear integral equations has a unique solution in \(L[0,\infty)\):
\[
x(t)=w(t,x(t))+\mu\int_0^tm(t,s)g_i(s,x(s))\,ds+\lambda\int_0^\infty k(t,s)h_j(s,x(s))\,ds
\]
for all \(t\in [0,\infty)\), where \(w(t,x(t))\in L[0... | 1 |
The authors give sufficient conditions in order that the following system of Voltera-Hammerstein nonlinear integral equations has a unique solution in \(L[0,\infty)\):
\[
x(t)=w(t,x(t))+\mu\int_0^tm(t,s)g_i(s,x(s))\,ds+\lambda\int_0^\infty k(t,s)h_j(s,x(s))\,ds
\]
for all \(t\in [0,\infty)\), where \(w(t,x(t))\in L[0... | 0 |
The symmetrical monotone risk aversion is studied with and without assuming the rank-dependent expected utility model. The paper is a continuation of \textit{M. Abouda} and \textit{A. Chateauneuf} [Theory Decis. 52, 149--170 (2002; Zbl 1032.91049)]. It is analyzed the positivity of the bid-ask spreads in terms of the m... | 1 |
The symmetrical monotone risk aversion is studied with and without assuming the rank-dependent expected utility model. The paper is a continuation of \textit{M. Abouda} and \textit{A. Chateauneuf} [Theory Decis. 52, 149--170 (2002; Zbl 1032.91049)]. The minimization of operation costs for natural gas transport networks... | 0 |
The aim is to prove the existence of global positive solutions of a weakly coupled system in \(\mathbb{R}^N\)
\[
u_t = \delta \Delta u + v^p,\;v_t = \Delta v + u^q, \quad u(x,0) = u_0 (x) \geq 0,\;v(x,0) = v_0 (x) \geq 0
\]
where \(\delta > 0\), \(pq > 1\), \(1 < \min (p,q) \leq \max (p,q) \leq N/(N - 2)\) and \(\max... | 1 |
The aim is to prove the existence of global positive solutions of a weakly coupled system in \(\mathbb{R}^N\)
\[
u_t = \delta \Delta u + v^p,\;v_t = \Delta v + u^q, \quad u(x,0) = u_0 (x) \geq 0,\;v(x,0) = v_0 (x) \geq 0
\]
where \(\delta > 0\), \(pq > 1\), \(1 < \min (p,q) \leq \max (p,q) \leq N/(N - 2)\) and \(\max... | 0 |
The authors study the inverse problem of determining the possibly anisotropic, conductivity \(\sigma\) of a bounded domain \(\Omega\subset\mathbb{R}^n\) \((n\geq 3)\) with Lipschitz boundary \(\partial\Omega\) when the Dirichlet-to-Neumann map is locally given on an open non-empty portion \(\Gamma\subset\partial\Omega\... | 1 |
The authors study the inverse problem of determining the possibly anisotropic, conductivity \(\sigma\) of a bounded domain \(\Omega\subset\mathbb{R}^n\) \((n\geq 3)\) with Lipschitz boundary \(\partial\Omega\) when the Dirichlet-to-Neumann map is locally given on an open non-empty portion \(\Gamma\subset\partial\Omega\... | 0 |
The authors consider nonlinear ordinary differential equations of the form
\[
u''+ g(u)= p(t,u,u')
\]
satisfied by the functions \(u(t)\) defined on the interval \(0\leq t\leq 1\) under the boundary conditions
\[
au(0)+ bu'(0)= A,\quad cu(1)+ du'(1)= B,
\]
and show that they have at least two solutions if the given... | 1 |
The authors consider nonlinear ordinary differential equations of the form
\[
u''+ g(u)= p(t,u,u')
\]
satisfied by the functions \(u(t)\) defined on the interval \(0\leq t\leq 1\) under the boundary conditions
\[
au(0)+ bu'(0)= A,\quad cu(1)+ du'(1)= B,
\]
and show that they have at least two solutions if the given... | 0 |
The theory of institutions [\textit{J. Goguen} and \textit{R. Burstall}, J. Assoc. Comput. Mach. 39, No. 1, 95--146 (1992; Zbl 0799.68134)] is a categorical abstract model theory which formalizes the intuitive notion of logical system, including syntax, semantics, and the satisfaction between them. This paper studies d... | 1 |
The theory of institutions [\textit{J. Goguen} and \textit{R. Burstall}, J. Assoc. Comput. Mach. 39, No. 1, 95--146 (1992; Zbl 0799.68134)] is a categorical abstract model theory which formalizes the intuitive notion of logical system, including syntax, semantics, and the satisfaction between them. This paper studies d... | 0 |
\textit{V. H. An} and \textit{H. H. Khoai} [Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 117--126 (2018; Zbl 1413.30122)] considered the uniqueness of meromorphic functions when the derivative of some power of meromorphic functions share a set of elements with counting multiplicities. The authors of
the pa... | 1 |
\textit{V. H. An} and \textit{H. H. Khoai} [Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 47, 117--126 (2018; Zbl 1413.30122)] considered the uniqueness of meromorphic functions when the derivative of some power of meromorphic functions share a set of elements with counting multiplicities. The authors of
the pa... | 0 |
In the very interesting note under review, the authors provide a new constant in a Cwikel-Lieb-Rosenblum type inequality which estimates the number of negative eigenvalues of the Schrödinger operator involving the Heisenberg sub-Laplacian with a potential that is proportional to the characteristic function of a measura... | 1 |
In the very interesting note under review, the authors provide a new constant in a Cwikel-Lieb-Rosenblum type inequality which estimates the number of negative eigenvalues of the Schrödinger operator involving the Heisenberg sub-Laplacian with a potential that is proportional to the characteristic function of a measura... | 0 |
This paper deals with regularity properties of solutions of the equation
\[
\psi_{tt}-t^{-4/3}\Delta\psi+{2\over t}\psi_t=f(x,t),
\]
with \(t>0\), \(x\in{\mathbb R}^n\) and \(f\) given. It is a sequel to a previous paper by the authors and \textit{T. Kinoshita} [J. Math. Phys. 51, No. 5, 052501, 18 p. (2010; Zbl 13... | 1 |
This paper deals with regularity properties of solutions of the equation
\[
\psi_{tt}-t^{-4/3}\Delta\psi+{2\over t}\psi_t=f(x,t),
\]
with \(t>0\), \(x\in{\mathbb R}^n\) and \(f\) given. It is a sequel to a previous paper by the authors and \textit{T. Kinoshita} [J. Math. Phys. 51, No. 5, 052501, 18 p. (2010; Zbl 13... | 0 |
The author studies the global well-posedness of the Cauchy problem for the equations of two-dimensional incompressible isotropic elastodynamics. A similar global existence result in the Lagrangian coordinates formulation was recently obtained by \textit{Z. Lei} [Commun. Pure Appl. Math. 69, No. 11, 2072--2106 (2016; Zb... | 1 |
The author studies the global well-posedness of the Cauchy problem for the equations of two-dimensional incompressible isotropic elastodynamics. A similar global existence result in the Lagrangian coordinates formulation was recently obtained by \textit{Z. Lei} [Commun. Pure Appl. Math. 69, No. 11, 2072--2106 (2016; Zb... | 0 |
In the classification of A. M. Naveira for Riemannian almost-product manifolds [Rend. Mat. Appl., VII. Ser. 3, 577--592 (1983; Zbl 0538.53045) (see the previous review)], many of the classes correspond to foliated manifolds with special properties of its metric, such as bundle-like metrics, minimal foliations, totally ... | 1 |
In the classification of A. M. Naveira for Riemannian almost-product manifolds [Rend. Mat. Appl., VII. Ser. 3, 577--592 (1983; Zbl 0538.53045) (see the previous review)], many of the classes correspond to foliated manifolds with special properties of its metric, such as bundle-like metrics, minimal foliations, totally ... | 0 |
This paper deals with a continuous-time generalization of the secretary problem that was studied by \textit{F. T. Bruss} [J. Appl. Probab. 24, No.~4, 918--928 (1987; Zbl 0596.60046)].The authors study the problem within two frameworks. In the first case the objective is to stop on the best or on the second best object ... | 1 |
This paper deals with a continuous-time generalization of the secretary problem that was studied by \textit{F. T. Bruss} [J. Appl. Probab. 24, No.~4, 918--928 (1987; Zbl 0596.60046)].The authors study the problem within two frameworks. In the first case the objective is to stop on the best or on the second best object ... | 0 |
The Gosset group of the title is a simple group, better known perhaps as \(O^+_8(2)\), or \(W(E_8)'/\{\pm 1\}\), where \(W(E_8)\) is the Weyl group of \(E_8\). It contains 17 classes of maximal subgroups. The aim of the paper is to describe in detail the correspondence between these subgroups and certain geometrical st... | 1 |
The Gosset group of the title is a simple group, better known perhaps as \(O^+_8(2)\), or \(W(E_8)'/\{\pm 1\}\), where \(W(E_8)\) is the Weyl group of \(E_8\). It contains 17 classes of maximal subgroups. The aim of the paper is to describe in detail the correspondence between these subgroups and certain geometrical st... | 0 |
The second author [\textit{F. Métayer}, ``Resolutions by polygraphs'', Theory Appl. Categ. 11, 148--184 (2003; Zbl 1020.18001)] defined homology using resolutions of \(\omega \)-categories via computads (polygraphs). The classical homology of a monoid \(M\) is defined in terms of resolutions of \(\mathbb{Z}\) by free \... | 1 |
The second author [\textit{F. Métayer}, ``Resolutions by polygraphs'', Theory Appl. Categ. 11, 148--184 (2003; Zbl 1020.18001)] defined homology using resolutions of \(\omega \)-categories via computads (polygraphs). The classical homology of a monoid \(M\) is defined in terms of resolutions of \(\mathbb{Z}\) by free \... | 0 |
We present and study the concept of \(m\)-periodic Gorenstein objects relative to a pair \((\mathcal{A}, \mathcal{B})\) of classes of objects in an abelian category, as a generalization of \(m\)-strongly Gorenstein projective modules over associative rings. We prove several properties when \((\mathcal{A}, \mathcal{B})\... | 1 |
We present and study the concept of \(m\)-periodic Gorenstein objects relative to a pair \((\mathcal{A}, \mathcal{B})\) of classes of objects in an abelian category, as a generalization of \(m\)-strongly Gorenstein projective modules over associative rings. We prove several properties when \((\mathcal{A}, \mathcal{B})\... | 0 |
The concept of a full term of a given type was already introduced by \textit{K. Denecke} et al. [J. Autom. Lang. Comb. 6, No. 3, 253--262 (2001; Zbl 0993.68052)]. The set of these full terms forms a clone uder composition. Equipped with the superposition operation, this set forms an algebra satisfying the superassocoat... | 1 |
The concept of a full term of a given type was already introduced by \textit{K. Denecke} et al. [J. Autom. Lang. Comb. 6, No. 3, 253--262 (2001; Zbl 0993.68052)]. The set of these full terms forms a clone uder composition. Equipped with the superposition operation, this set forms an algebra satisfying the superassocoat... | 0 |
Let H be an Abelian semigroup, which is embeddable into a locally compact Abelian group. Let \(T_ t\) (t\(\in H)\), be a weakly continuous semigroup of contractions of the separable Banach space X. The author complements his result in Ergodic theory and related topics II, Proc. Conf., Georgenthal/GDR 1986, Teubner-Text... | 1 |
Let H be an Abelian semigroup, which is embeddable into a locally compact Abelian group. Let \(T_ t\) (t\(\in H)\), be a weakly continuous semigroup of contractions of the separable Banach space X. The author complements his result in Ergodic theory and related topics II, Proc. Conf., Georgenthal/GDR 1986, Teubner-Text... | 0 |
Let \(\Phi:\mathbb{R}\to [0,\infty)\) be a Young function such that \(\Phi\) is even, convex on \(\mathbb{R}\) and \(\Phi(0)=0\). Let \(\Omega\subset\mathbb{R}^n\) have finite Lebesgue measure and \(w\) be a weight on \(\Omega\), i.e., \(w\) is a positive locally integrable real function defined on \(\Omega\). The Orli... | 1 |
Let \(\Phi:\mathbb{R}\to [0,\infty)\) be a Young function such that \(\Phi\) is even, convex on \(\mathbb{R}\) and \(\Phi(0)=0\). Let \(\Omega\subset\mathbb{R}^n\) have finite Lebesgue measure and \(w\) be a weight on \(\Omega\), i.e., \(w\) is a positive locally integrable real function defined on \(\Omega\). The Orli... | 0 |
The authors study the quadratic congruential random number generator \(y_{n+1}= ay^ 2_ n+ by_ n+c \pmod m\), \(n\geq 0\), where \(a,b,c,y_ 0\in \mathbb{Z}_ m\) and \(m= p^ w\) is a prime power modulus with \(w\geq 3\). A sequence \((x_ n )_{n\geq 0}\) of quadratic congruential pseudorandom numbers in the interval \([0,... | 1 |
The authors study the quadratic congruential random number generator \(y_{n+1}= ay^ 2_ n+ by_ n+c \pmod m\), \(n\geq 0\), where \(a,b,c,y_ 0\in \mathbb{Z}_ m\) and \(m= p^ w\) is a prime power modulus with \(w\geq 3\). A sequence \((x_ n )_{n\geq 0}\) of quadratic congruential pseudorandom numbers in the interval \([0,... | 0 |
X\({}_ 1,...,X_ n\) are independent and identically distributed random p-dimensional vectors. The jth component of \(X_ i\) is assumed to have a marginal distribution which is symmetric about an unknown location parameter \(\theta_ j\). The problem is to estimate the vector \(\theta =(\theta_ 1,...,\theta_ p)\). If \(D... | 1 |
X\({}_ 1,...,X_ n\) are independent and identically distributed random p-dimensional vectors. The jth component of \(X_ i\) is assumed to have a marginal distribution which is symmetric about an unknown location parameter \(\theta_ j\). The problem is to estimate the vector \(\theta =(\theta_ 1,...,\theta_ p)\). If \(D... | 0 |
In [Ann. Inst. Fourier 35, No. 4, 163-174 (1985; Zbl 0564.46044)], \textit{J. Bourgain} proved that if \(\alpha\) is a real-valued function satisfying \(\alpha(t)/t\to 0\) at \(t\to 0\) and if \(f, f_1,\dots,f_n\in H^{\infty}(\mathbb T)\) are such that \(|f|\leq\alpha(|f_1|+\dots+|f_n|)\) on the unit disk \({\mathbb D}... | 1 |
In [Ann. Inst. Fourier 35, No. 4, 163-174 (1985; Zbl 0564.46044)], \textit{J. Bourgain} proved that if \(\alpha\) is a real-valued function satisfying \(\alpha(t)/t\to 0\) at \(t\to 0\) and if \(f, f_1,\dots,f_n\in H^{\infty}(\mathbb T)\) are such that \(|f|\leq\alpha(|f_1|+\dots+|f_n|)\) on the unit disk \({\mathbb D}... | 0 |
It is proved that, if a homeomorphism of a separable locally compact metric space has a unique fixed point that is attracting or repelling, then its corresponding composition operator is cyclic. On the real line, it is shown that a composition operator is cyclic if and only if its symbol has at most one fixed point. Ot... | 1 |
It is proved that, if a homeomorphism of a separable locally compact metric space has a unique fixed point that is attracting or repelling, then its corresponding composition operator is cyclic. On the real line, it is shown that a composition operator is cyclic if and only if its symbol has at most one fixed point. Ot... | 0 |
A ring with unity is called \textit{Baer (quasi-Baer)} if the left annihilator of each nonempty set (ideal) is generated by an idempotent element. The origins of the class of Baer rings evolved as an abstraction of the strictly algebraic properties of von Neumann algebras. This concept has been extended to nearrings. H... | 1 |
A ring with unity is called \textit{Baer (quasi-Baer)} if the left annihilator of each nonempty set (ideal) is generated by an idempotent element. The origins of the class of Baer rings evolved as an abstraction of the strictly algebraic properties of von Neumann algebras. This concept has been extended to nearrings. H... | 0 |
Bielliptic and quasi-bielliptic surfaces form one of the four classes of minimal smooth projective surfaces of Kodaira dimension 0. In this article, we determine the automorphism group schemes of these surfaces over algebraically closed fields of arbitrary characteristic, generalizing work of \textit{C. Bennett} and \t... | 1 |
Bielliptic and quasi-bielliptic surfaces form one of the four classes of minimal smooth projective surfaces of Kodaira dimension 0. In this article, we determine the automorphism group schemes of these surfaces over algebraically closed fields of arbitrary characteristic, generalizing work of \textit{C. Bennett} and \t... | 0 |
One considers the canonical fiber bundle \(\pi :{\mathbb R}^{n+1}\rightarrow {\mathbb R}^n\), the natural action of the Lie algebra of the Poincaré group \(P(1,n)\) in the module of vector fields over the fiber bundle and one determines the system of equations satisfied by the local coefficients of a \(P(1,n)\)-invaria... | 1 |
One considers the canonical fiber bundle \(\pi :{\mathbb R}^{n+1}\rightarrow {\mathbb R}^n\), the natural action of the Lie algebra of the Poincaré group \(P(1,n)\) in the module of vector fields over the fiber bundle and one determines the system of equations satisfied by the local coefficients of a \(P(1,n)\)-invaria... | 0 |
All rings considered in this paper are commutative with identity. Let \(D\) be an integral domain with quotient field \(K,\) \(S\) be a multiplicatively closed subset of \(D\) and \(I\) a nonzero ideal of \(D.\) Following \textit{A. Hamed} and \textit{S. Hizem} [J. Pure Appl. Algebra 221, No. 11, 2869--2879 (2017; Zbl ... | 1 |
All rings considered in this paper are commutative with identity. Let \(D\) be an integral domain with quotient field \(K,\) \(S\) be a multiplicatively closed subset of \(D\) and \(I\) a nonzero ideal of \(D.\) Following \textit{A. Hamed} and \textit{S. Hizem} [J. Pure Appl. Algebra 221, No. 11, 2869--2879 (2017; Zbl ... | 0 |
The starting point for this research is the paper by \textit{Y. Lou} [J. Differ. Equations 223, No. 2, 400--426 (2006; Zbl 1097.35079)] dealing with the dynamics of a single species described by the logistic reaction-diffusion equation
\[
\begin{aligned} u_{t} & =d\Delta u+u\left( m\left( x\right) -u\right) \quad \tex... | 1 |
The starting point for this research is the paper by \textit{Y. Lou} [J. Differ. Equations 223, No. 2, 400--426 (2006; Zbl 1097.35079)] dealing with the dynamics of a single species described by the logistic reaction-diffusion equation
\[
\begin{aligned} u_{t} & =d\Delta u+u\left( m\left( x\right) -u\right) \quad \tex... | 0 |
The article is dedicated to a wide variety of questions connected with amenability and paradoxical decompositions for pseudogroups and discrete metric spaces. The authors effectively demonstrate that paradoxical decompositions are associated with amenability and not with the property of ``exponential growth'' [compare ... | 1 |
The article is dedicated to a wide variety of questions connected with amenability and paradoxical decompositions for pseudogroups and discrete metric spaces. The authors effectively demonstrate that paradoxical decompositions are associated with amenability and not with the property of ``exponential growth'' [compare ... | 0 |
The problem ``which semigroup rings are rings with identity'' was raised a long time ago. In [Semigroup Forum 46, No. 1, 27-31 (1993; Zbl 0787.16024)], in order to investigate the existence of identity of an orthodox semigroup ring, \textit{F. Li} asked: for a ring \(R\) with identity and a regular semigroup \(S\), if ... | 1 |
The problem ``which semigroup rings are rings with identity'' was raised a long time ago. In [Semigroup Forum 46, No. 1, 27-31 (1993; Zbl 0787.16024)], in order to investigate the existence of identity of an orthodox semigroup ring, \textit{F. Li} asked: for a ring \(R\) with identity and a regular semigroup \(S\), if ... | 0 |
The authors present several inequalities for the trace of the product (in particular, for the power) of matrices. Related results can be found in [\textit{T. Ando}, \textit{F. Hiai} and \textit{K. Okubo}, Math. Inequal. Appl. 3, No. 3, 307--318 (2000; Zbl 0959.15015)]. The primary motivation of this paper is to conside... | 1 |
The authors present several inequalities for the trace of the product (in particular, for the power) of matrices. Related results can be found in [\textit{T. Ando}, \textit{F. Hiai} and \textit{K. Okubo}, Math. Inequal. Appl. 3, No. 3, 307--318 (2000; Zbl 0959.15015)]. Let \(k\) be an algebraically closed field of prim... | 0 |
Let \(n\) and \(e\) be integers greater than or equal to \(2\). Pappas and Rapoport conjectured that the subscheme \[\mathcal{N}_{n,e} = \{ A \in \mathrm{Mat}_{n \times n} \: : \: A^e = 0, \det(\lambda-A) = \lambda^n \}\] of the scheme \(\mathrm{Mat}_{n \times n}\) of \(n \times n\) matrices is reduced (Conjecture 5.8 ... | 1 |
Let \(n\) and \(e\) be integers greater than or equal to \(2\). Pappas and Rapoport conjectured that the subscheme \[\mathcal{N}_{n,e} = \{ A \in \mathrm{Mat}_{n \times n} \: : \: A^e = 0, \det(\lambda-A) = \lambda^n \}\] of the scheme \(\mathrm{Mat}_{n \times n}\) of \(n \times n\) matrices is reduced (Conjecture 5.8 ... | 0 |
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