共查询到20条相似文献,搜索用时 31 毫秒
1.
The main goal of the paper is to make connections between two well-known, but, up to now, independently developed theories: the theory of violator spaces and the theory of closure spaces. Violator spaces were introduced by Matoušek et al. in 2008 as generalization of linear programming problems. The notion of closure arises in many disciplines, including topology, algebra, convexity analysis, logic etc. In this work, we investigate interrelations between violator spaces and closure spaces. We show that a violator mapping may be defined by a weak version of a closure operator. Interrelations between violator spaces and closure spaces give new insights on a number of well known findings. For example, we prove that violator spaces with a unique basis satisfy both the anti-exchange and the Krein–Milman properties.Finally, based on subsequent relaxations of the closure operator notion we introduce convex spaces as a generalization of violator spaces. 相似文献
2.
In this paper we show that associated spaces and dual spaces of the local Morrey-type spaces are so called complementary local
Morrey-type spaces. Our method is based on an application of multidimensional reverse Hardy inequalities. 相似文献
3.
R. S. Ismagilov 《Mathematical Notes》1997,62(2):186-197
We present simple proofs of the possibility of embedding ultrametric spaces in Hilbert spaces. The main part of the paper
deals with ultrametric spaces that we call totally infinite spaces. Related Hilbert spaces, automorphisms of totally infinite
spaces, and the corresponding linear operators are considered.
Transplated fromMatematicheskie Zametki, Vol. 62, No. 2, pp. 223–237, August, 1997.
Translated by V. E. Nazaikinskii 相似文献
4.
杨大春 《中国科学A辑(英文版)》2003,46(5)
This paper introduces the fractional Sobolev spaces on spaces of homogeneous type,includingmetric spaces and fractals. These Sobolev spaces include the well-known Hajfasz-Sobolev spaces as specialmodels.The author establishes varions chaaracterizations of(sharp)maximal functions for these spaces.Asapplications,the author identifies the fractional Sobolev spaces with some Lipscitz-type spaces.Moreover;some embedding theorems are also given. 相似文献
5.
AbstractRelations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with nonradial weights, are studied. It is shown that any de Branges space can be realized as a Fock-type space with equivalent area norm, and several constructions of a representing weight are suggested. For some special classes of weights (e.g. weights depending on the imaginary part only) the corresponding de Branges spaces are explicitly described. 相似文献
6.
Sarason has shown that the local Dirichlet spaces Dλ may be considered as manifestations of de Branges-Rovnyak spaces H(b), and has used this identification to give a new proof that the spaces Dλ are star-shaped. We investigate which other Dirichlet spaces D(μ) arise as de Branges-Rovnyak spaces, and which other de Branges-Rovnyak spaces H(b) are star-shaped. We also prove a transfer principle which represents H(b)-spaces inside Dλ. 相似文献
7.
V. I. Burenkov E. D. Nursultanov 《Proceedings of the Steklov Institute of Mathematics》2010,269(1):46-56
We consider the real interpolation method and prove that for local Morrey spaces, in the case when they have the same integrability
parameter, the interpolation spaces are again local Morrey-type spaces with appropriately chosen parameters. Thus, in contrast
to the standard Morrey-type spaces, these local spaces form an interpolation scale. In particular, this is true in the so-called
nondiagonal case. 相似文献
8.
Alireza Ranjbar-Motlagh 《Journal of Mathematical Analysis and Applications》2022,505(2):125508
The purpose of this article is to study the Besov type function spaces for maps which are defined on abstract metric-measure spaces. We extend some of the embedding theorems of the classical Besov spaces to the setting of abstract spaces. 相似文献
9.
S-paracompact spaces 总被引:1,自引:0,他引:1
Khalid Y. Al-Zoubi 《Acta Mathematica Hungarica》2006,110(1-2):165-174
Summary We introduce the class of S-paracompact spaces as a generalization of paracompact spaces. A space (X,T) is S-paracompact if every open cover of X has a locally finite semi-open refinement. We characterize S-paracompact spaces and study their basic properties. The relationships
between S-paracompact spaces and other well-known spaces are investigated. 相似文献
10.
R.A. McCoy 《Topology and its Applications》2010,157(16):2516-2537
A study is made of two classes of product topologies on powers of spaces: the general box product topologies, and the general uniform product topologies. Some examples are given and some results are shown about the properties of these general product spaces. This is applied to show that certain spaces of continuous functions with the fine topology are homeomorphic to box product spaces, and certain spaces of continuous functions with the uniform topology are homeomorphic to uniform product spaces. 相似文献
11.
This article gives an analysis of topological and homological properties for loop spaces of configuration spaces. The main topological results are given by certain choices of product decompositions of these spaces, as well as ``twistings" between the factors. The main homological results are given in terms of extensions of the ``infinitesimal braid relations" or ``universal Yang-Baxter Lie relations".
12.
Straight spaces are spaces for which a continuous map defined on the space which is uniformly continuous on each set of a finite closed cover is then uniformly continuous on the whole space. Previously, straight spaces have been studied in the setting of metric spaces. In this paper, we present a study of straight spaces in the more general setting of nearness spaces. In a subcategory of nearness spaces somewhat more general than uniform spaces, we relate straightness to uniform local connectedness. We investigate category theoretic situations involving straight spaces. We prove that straightness is preserved by final sinks, in particular by sums and by quotients, and also by completions. 相似文献
13.
Donald Sarason 《Proceedings of the American Mathematical Society》1997,125(7):2133-2139
The harmonically weighted Dirichlet spaces associated with unit point masses are shown to coincide with de Branges-Rovnyak spaces, with equality of norms. As a consequence it is shown that radial expansion operators act contractively in harmonically weighted Dirichlet spaces.
14.
Tanweer Sohail 《Czechoslovak Mathematical Journal》2010,60(2):411-422
In this paper we compute topological invariants for some configuration spaces of complex projective spaces. We shall describe
Sullivan models for these configuration spaces. 相似文献
15.
The relationship of Besov spaces and Herz spaces on local fields is given. As an application, one multiplier theorem is obtained.
And the decompositional characterization of the weighted Besov spaces is established. 相似文献
16.
The boundedness and compactness of the products of differentiation and composition operators from Zygmund spaces to Bloch spaces and Bers spaces are discussed in this paper. 相似文献
17.
Charles Stegall 《Israel Journal of Mathematics》1972,11(3):299-308
We characterize those Banach spaces whose duals are isometric toL
1 spaces in terms of the structure of the spaces of absolutely summing, integral, nuclear, and fully nuclear operators from
or into these spaces. 相似文献
18.
19.
Oscar Domínguez 《Mathematische Nachrichten》2016,289(14-15):1739-1759
This paper deals with dimension‐controllable (tractable) embeddings of Besov spaces on n‐dimensional torus into small Lebesgue spaces. Our techniques rely on the approximation structure of Besov spaces, extrapolation properties of small Lebesgue spaces and interpolation. 相似文献
20.
Yoshihiro Sawano 《数学学报(英文版)》2009,25(8):1223-1242
In the present paper, we obtain three independent results on the Besov-Morrey spaces and the Triebel-Lizorkin-Morrey spaces. That is, we are going to obtain the characterization of local means, the boundedness of pseudo-differential operators and the characterization of the Hardy-Morrey spaces. By using the maximal estimate and the molecular decomposition, we shall integrate and extend the known results on these spaces. 相似文献