共查询到20条相似文献,搜索用时 15 毫秒
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文[Erguang YANG. On some generalized countably compact spaces. J. Math. Res. Appl., 2019, 39(5): 540-550]中给出了对某些广义可数紧空间,如拟-$\gamma$空间、拟-Nagata空间、$wN$-空间及$wM$-空间等的实值函数刻画.本文继续这一研究,给出了上述空间类的其它形式的实值函数刻画. 相似文献
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In this paper a unified theory of Cauchy spaces is presented including the classical cases of filter and sequence Cauchy spaces. To by-pass a lattice-theoretical barrier the notion of Urysohn modification of a functor is introduced. Employing this notion for many types of generalized Cauchy spaces a completion method is given. 相似文献
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Petr Holicky 《Czechoslovak Mathematical Journal》2001,51(4):791-818
Classical analytic spaces can be characterized as projections of Polish spaces. We prove analogous results for three classes of generalized analytic spaces that were introduced by Z. Frolik, D. Fremlin and R. Hansell. We use the technique of complete sequences of covers. We explain also some relations of analyticity to certain fragmentability properties of topological spaces endowed with an additional metric. 相似文献
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Oldich Kowalski 《Mathematische Nachrichten》1977,80(1):205-208
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It is shown that the space X[0,1], of continuous maps [0,1]X with the compact-open topology, is not locally compact for any space X having a nonconstant path of closed points. For a T1-space X, it follows that X[0,1] is locally compact if and only if X is locally compact and totally path-disconnected.
Mathematics Subject Classifications (2000) 54C35, 54E45, 55P35, 18B30, 18D15. 相似文献
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Generalized Vector Equilibrium Problems in Generalized Convex Spaces 总被引:14,自引:3,他引:11
In this paper, we introduce and study a class of abstract generalized vector equilibrium problems (AGVEP) in generalized convex spaces which includes most vector equilibrium problems, vector variational inequality problems, generalized vector equilibrium problems, and generalized vector variational inequality problems as special cases. By using the generalized GKKM and generalized SKKM type theorems due to the first author, some new existence results of equilibrium points for the AGVEP are established in noncompact generalized convex spaces. As consequences, some recent results in the literature are obtained under much weaker assumptions. 相似文献
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Ren L. Schilling 《Mathematische Nachrichten》2000,217(1):147-174
Let {Xt}t ≥ 0 be a Feller process with infinitesimal generator (A, D(A)). If the test functions are contained in D(A), —A |C∞c (ℝn) is a pseudo–differential operator p(x, D) withsymbol p(x, ξ). We investigate local and global regularity properties of the sample paths t ↦ Xt in terms of (weighted) Besov Bspq (ℝ, ρ) and Triebel–Lizorkin Fspq (ℝ, ρ) spaces. The parameters for these spaces are determined by certain indices that describe the asymptotic behaviour of the symbol p(x, ξ). Our results improve previous papers on Lévy [5, 9] and Feller processes [22]. 相似文献
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YUE Xiu-kui 《数学季刊》2005,20(1):47-53
In this paper,we characterize the multipliers of generalized Bergman spaces Ap,q,αwith 0
0) in almost every case considered. The corollaries on multipliers of the spaces Ap,q,αextend some related results. 相似文献
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广义度量空间和偏序集都具有函数空间.而函数空间的存在为数学构造和计算提供了很大方便.本文还讨论了广义度量空间和偏序集之间的相互转化问题. 相似文献
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通过引入广义K-框架和广义K-原子系统给出了Hilbert空间上有界线性算子K的值域的一种新的重构方式.广义K-框架是Hilbert空间中广义框架和K-框架概念的一种新的推广.为了建立基于广义K-框架的元素重构理论,广义K-对偶对和广义逼近K-对偶对的概念被引入.此外,广义K-框架和广义K-原子系统之间的关系,广义K-... 相似文献
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Tsachik Gelander Anders Karlsson Gregory A. Margulis 《Geometric And Functional Analysis》2008,17(5):1524-1550
We prove several superrigidity results for isometric actions on Busemann non-positively curved uniformly convex metric spaces.
In particular we generalize some recent theorems of N. Monod on uniform and certain non-uniform irreducible lattices in products
of locally compact groups, and we give a proof of an unpublished result on commensurability superrigidity due to G.A. Margulis.
The proofs rely on certain notions of harmonic maps and the study of their existence, uniqueness, and continuity.
Submitted: June 2006, Revision: June 2007, Accepted: July 2007 相似文献
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Pavlos Sinopoulos 《Aequationes Mathematicae》1995,49(1):122-152
In this paper we solve the equations
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Several new kinds of generalized E-preinvexity and generalized invariant E-monotonicity are introduced in the setting of Banach spaces. The relations between E-preinvexity, E-prequasiinvexity, (pseudo, quasi) E-invexity and invariant (pseudo, quasi) E-monotonicity are studied, which can be viewed as an extension of some known results. 相似文献
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We consider the weighted Bergman spaces
HL2(\mathbb Bd, ml){\mathcal {H}L^{2}(\mathbb {B}^{d}, \mu_{\lambda})}, where we set dml(z) = cl(1-|z|2)l dt(z){d\mu_{\lambda}(z) = c_{\lambda}(1-|z|^2)^{\lambda} d\tau(z)}, with τ being the hyperbolic volume measure. These spaces are nonzero if and only if λ > d. For 0 < λ ≤ d, spaces with the same formula for the reproducing kernel can be defined using a Sobolev-type norm. We define Toeplitz operators
on these generalized Bergman spaces and investigate their properties. Specifically, we describe classes of symbols for which
the corresponding Toeplitz operators can be defined as bounded operators or as a Hilbert–Schmidt operators on the generalized
Bergman spaces. 相似文献
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Justin Feuto 《Journal of Fourier Analysis and Applications》2014,20(4):896-909
We prove that Calderón-Zygmund operators, Marcinkiewicz operators, maximal operators associated to Bochner-Riesz operators, operators with rough kernel as well as commutators associated to these operators which are known to be bounded on weighted Morrey spaces under appropriate conditions, are bounded on a wide family of function spaces. 相似文献
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We prove that, in a generalized Kawaguchi space, there exist intrinsic almost product and almost complex structures associated to a metric of this space. We derive conditions for the integrability of these structures and find compatible affine connections. 相似文献
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Bebe Prunaru 《Integral Equations and Operator Theory》2008,61(1):121-145
In this paper we establish a connection between the approximate factorization property appearing in the theory of dual algebras
and the spectral inclusion property for a class of Toeplitz operators on Hilbert spaces of vector valued square integrable
functions. As an application, it follows that a wide range of dual algebras of subnormal Toeplitz operators on various Hardy
spaces associated to function algebras have property (A
1(1)). It is also proved that the dual algebra generated by a spherical isometry (with a possibly infinite number of components)
has the same property. One particular application is given to the existence of unimodular functions sitting in cyclic invariant
subspaces of weak* Dirichlet algebras. Moreover, by this method we provide a unified approach to several Toeplitz spectral
inclusion theorems.
Research partially supported by grant CNCSIS GR202/2006 (cod 813). 相似文献
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