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1.
We endow the set of complements of a fixed subspace of a projective space with the structure of an affine space, and show that certain lines of such an affine space are affine reguli or cones over affine reguli. Moreover, we apply our concepts to the problem of describing dual spreads. We do not assume that the projective space is finite-dimensional or pappian. 相似文献
2.
《数学物理学报(A辑)》2015,(6)
引入了QCLkR空间和QCLkS空间的概念,以局部自反原理为工具证明了QCLkR空间和QCLkS空间的对偶关系.利用切片给出了QCLkR空间和QCLkS空间的特征刻画,并讨论了它们与其它凸性和光滑性的关系,所得结果进一步完善了关于Banach空间凸性与光滑性的研究. 相似文献
3.
In this article, the authors introduce the Newton-Morrey-Sobolev space on a metric measure space (??, d, μ). The embedding of the Newton-Morrey-Sobolev space into the Hölder space is obtained if ?? supports a weak Poincaré inequality and the measure μ is doubling and satisfies a lower bounded condition. Moreover, in the Ahlfors Q-regular case, a Rellich-Kondrachov type embedding theorem is also obtained. Using the Haj?asz gradient, the authors also introduce the Haj?asz-Morrey-Sobolev spaces, and prove that the Newton-Morrey-Sobolev space coincides with the Haj?asz-Morrey-Sobolev space when μ is doubling and ?? supports a weak Poincaré inequality. In particular, on the Euclidean space \({\mathbb R}^n\) , the authors obtain the coincidence among the Newton-Morrey-Sobolev space, the Haj?asz-Morrey-Sobolev space and the classical Morrey-Sobolev space. Finally, when (??, d) is geometrically doubling and μ a non-negative Radon measure, the boundedness of some modified (fractional) maximal operators on modified Morrey spaces is presented; as an application, when μ is doubling and satisfies some measure decay property, the authors further obtain the boundedness of some (fractional) maximal operators on Morrey spaces, Newton-Morrey-Sobolev spaces and Haj?asz-Morrey-Sobolev spaces. 相似文献
4.
局部强紧空间的Hoare空间与Smyth空间 总被引:1,自引:0,他引:1
本文主要讨论局部强紧空间的性质,特别是其Hoare空间和Smyth空间的性质,证明了T_0空间为局部强紧空间的当且仅当其Hoare空间为局部强紧空间,局部强紧空间的Smyth空间为C-空间.对于强局部紧空间,我们有类似的结论. 相似文献
5.
The category LTS of limit tower spaces is defined and shown to be isomorphic to the category CAP of convergence approach spaces. The full subcategory of LTS determined by the objects satisfying a diagonal axiom due to Cook and Fischer is shown to be isomorphic to the category AP of approach spaces. A family of isomorphisms is also obtained between LTS and certain full subcategories of the category PCS of probabilistic convergence spaces. 相似文献
6.
Ralf Kemper 《Applied Categorical Structures》1999,7(3):279-295
We introduce the categories Vec
p
of p-normed vector spaces, Ban
p
of
p
-Banach spaces, AC
p
of
p
-absolutely and TC
p
of
p
-totally convex spaces (0 < p 1). It will be shown that TC
p
(AC
p
) is the Eilenberg–Moore category of Ban
p
(Vec
p
). Then congruence relations on TC
p
(AC
p
)-spaces are studied. There are many differences between TC
p
(AC
p
)-spaces and totally (absolutely) convex spaces (i.e. p = 1) (Pumplün and Röhrl, 1984, 1985), which will become apparent in Section 4. 相似文献
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9.
Takahide Kurokawa 《Potential Analysis》2011,34(3):261-282
Let S(Rn){\cal S}(R^n) be the Schwartz space on R
n
. For a subspace V ì S(Rn)V\subset {\cal S}(R^n), if a subspace W ì S(Rn)W \subset {\cal S}(R^n) satisfies the condition that S(Rn){\cal S}(R^n) is a direct sum of V and W, then W is called a complementary space of V in S(Rn){\cal S}(R^n). In this article we give complementary spaces of two kinds of the Lizorkin spaces in S(Rn){\cal S}(R^n). 相似文献
10.
本文定义了几乎第二可数空间,几乎第一数可空间和几乎可分空间,它们分别是第二可数空间,第一可数空间和可分空间的一般化,还研究了这三类新空间以及几乎Lindel?f空间的性质,改进了[2]中的几个定理. 相似文献
11.
Siberian Mathematical Journal - We study the properties of the so-called grand Sobolev spaces on a metric measure space. The introduction of the spaces is motivated by the available... 相似文献
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Questions of the theory of isometric immersions of Riemannian spaces in Euclidean spaces beginning with the very first results onthis topic and also results on immersions of pseudo-Riemannian spaces in pseudo-Euclidean spaces and applications of the theory of immersions in the general theory of relativity are considered.Translated from Itogi Nauki i Tekhniki, Algebra, Topologiya, Geometriya, Vol. 15, pp. 173–211, 1977. 相似文献
17.
关于弱MCP空间与弱层空间 总被引:1,自引:0,他引:1
本文引入了与已知的一些空间类非常类似的两个概念,我们分别称它们为弱MCP空间与弱层空间.本文主要讨论了这两空间类的等价命题与一些基本性质,及它们与原有空间类的关系. 相似文献
18.
本文深入讨论 C-序列空间与 Mazur空间的性质 ,对二者进行了比较并分别证明了其遗传性 . 相似文献
19.
Dashan Fan & Fayou Zhao 《分析论及其应用》2021,37(3):267-288
We establish Littlewood-Paley characterizations of Triebel-Lizorkin spaces and Besov spaces in Euclidean spaces using several square functions defined via the spherical average, the ball average, the Bochner-Riesz means and some other well-known operators. We provide a simple proof so that we are able to extend and improve many results published in recent papers. 相似文献
20.
A new interesting topology on graphs of partial maps is introduced. This topology can be considered as a natural extension to a non locally compact
setting of former topologies defined by P. Brandi, R. Ceppitelli and K. Back, having applications in mathematical economics,
differential equations and in the convergence of dynamic programming models. New characterizations of boundedly Atsuji spaces
are given by the coincidence of and the topology τ
ucb
of uniform convergence on bounded sets on C(X,Y) and by topological properties of .
相似文献