共查询到20条相似文献,搜索用时 9 毫秒
1.
The aim of this paper is to get the decomposition of distributional derivatives of functions with bounded variation in the framework of Carnot-Caratheodory spaces (C-C spaces in brievity) in which the vector fields are of Carnot type. For this purpose the approximate continuity of BV functions is discussed first, then approximate differentials of L1 functions are defined in the case that vector fields are of Carnot type and finally the 相似文献
2.
Ary O.Chiacchio 《分析论及其应用》1986,(1)
1. Introduction In this paper we study the existence of Chebyshev centers inspaces of vector-valued continuous functions. More precisely,given a topological space X and a Banach space E, consider C_b(X;E),the space of all bounded continuous functions from X in E, endowed 相似文献
3.
Bu Shangquan 《数学年刊B辑(英文版)》1992,13(1):110-118
The following result is established:let X be a Banach space without the Radon-Nikodym property,there exists a uniformly bounded harmonic function f defined onthe open unit disk of C with values in X,such that for almost allθ∈[0,2π],(?)f(re~(iθ))does not exist. 相似文献
4.
《Quaestiones Mathematicae》2013,36(1-2):341-352
Abstract In this paper we show that a Banach-Dieudonné type theorem for the space of entire functions of bounded type on a Banach space only holds in the finite dimensional case. We also study if this result holds in the setting of Fréchet spaces. 相似文献
5.
《分析论及其应用》1996,(1)
In this paper we Ointroduce linear-spaces consisting of continuous functions whose graphs are the attactars of a special class of iterated function systems. We show that such spaces are finite dimensional and give the bases of these spaces in an implicit way. Given such a space, we discuss how to obtain a set of knots for whah the Lagrange interpolation problem by the space is uniquely solvable. 相似文献
6.
Let(Ω,■,μ)be a probabilty space with an increasing family of sub-σ-fieldssatisfying the usual conditions.The following results are obtained:for f∈BMO,we havef=g—h with g,h∈BLO;if in addition,f satisfiesE 相似文献
7.
For any α∈R,the logarithmic Bloch space BLαconsists of those functions f which are analytic in the unit disk D with.■In this paper,we characterize the closure of the analytic functions of bounded mean oscillation BMOA in the logarithmic Bloch space BLα for all α∈R. 相似文献
8.
DIFFERENTIABILITY OF CONVEX FUNCTIONS ON SUBLINEAR TOPOLOGICAL SPACES AND VARIATIONAL PRINCIPLES IN LOCALLY CONVEX SPACES 总被引:1,自引:0,他引:1
This paper presents a type of variational principles for real valued w lower semicon-tinuous functions on certain subsets in duals of locally convex spaces, and resolve a problem concerning differentiability of convex functions on general Banach spaces. They are done through discussing differentiability of convex functions on nonlinear topological spaces and convexification of nonconvex functions on topological linear spaces. 相似文献
9.
DIFFERENTIABILITYOFCONVEXFUNCTIONSANDASPLUNDSPACESChengLizin(程立新)ZhangFeng(张风)(Math.Section,Dept.ofPublicCourses,JianghanrPet... 相似文献
10.
李志阐 《数学物理学报(B辑英文版)》1987,(1)
In this paper, by using the probabilistic method, we obtained a decomposition theorem for the harmonic functions, generalized and strengthened some theorems: Doob's theorem on the limit behaviors of the superharmonic functions, Bocher's theorem on the representation of the harmonic functions and the extension theorem of the harmonic functions etc. 相似文献
11.
Zhou Feng 《数学年刊B辑(英文版)》1998,19(3):249-254
§1.IntroductionLetEbearealBanachspace,notnecesarilyreflexive.LetΦ,Ψ:E→]-∞,∞]betwolowersemicontinuousconvexfunctions.Wedenote... 相似文献
12.
赵如汉 《数学物理学报(B辑英文版)》1995,(4)
DECOMPOSITIONFORBERS-ORLICZSPACESZhaoRuhan(赵如汉)(WuhanIust.ofMath.Sci.,AcadrmiaSinda.,Wuhan430071,China.)DECOMPOSITIONFORBERS-... 相似文献
14.
HazemShabaBehnam G.S.Srivastava 《逼近论及其应用》2002,18(3):1-14
We consider the space X of all analytic functions f(s1,s2)=∑∞m,n=1 amnexp(s1λm s2μn) of two complex variables s1 and s2,equipping it with the natural locally convex topology and using the growth parameter,the order of f as defined recently by the authors.Under this topology X becomes a Frechet space.Apart from finding the characterization of continuous linear functionals,linear transformation on X,we have obtained the necessary and sufficient conditions for a double sequence in X to be a proper bases. 相似文献
15.
伍镜波 《数学物理学报(B辑英文版)》1982,(3)
In [1-5], it was investigaed the realizations of weighting patterns in Hilbert spaces. This note deals with discrete systems which have operator weighting partterns. Theorems 2-4 are necessary and sufficient conditions for J-unitary realization and for J-selfadjoint 相似文献
16.
《分析论及其应用》2002,(3)
We consider the space X of all analytic functionsof two complex variables s1 and s2, equipping it with the natural locally convex topology and using the growth parameter, the order of f as defined recently by the authors. Under this topology X becomes a Frechet space Apart from finding the characterization of continuous linear functionals, linear transformation on X, we have obtained the necessary and sufficient conditions for a double sequence in X to be a proper bases. 相似文献
17.
ATOMIC DECOMPOSITION OF μ-BERGMAN SPACE IN C~n 总被引:1,自引:0,他引:1
Let μ be a normal function on [0, 1). The atomic decomposition of the μ-Bergman space in the unit ball B is given for all p 0. 相似文献
18.
The present paper introduces a kind of Nevai-Durrmeyer operators which can be used to approximate functions in Lwp spaces with the weight w(x) =1/(1-x~2)~(1/2), and the approximate rate is also estimated. 相似文献
19.
SizweMabizela 《分析论及其应用》2003,19(2):121-129
Let (X,d) be a real metric linear space, with translation-invariant metric d and G a linear subspace of X. In this paper we use functionals in the Lipschitz dual of X to characterize those elements of G which are best approximations to elements of X. We also give simultaneous characterization of elements of best approximation and also consider elements of ε-approximation. 相似文献
20.
Tang Lizhong 《数学年刊B辑(英文版)》1995,16(2):239-244
ABELIAN3-FOLDSINPRODUCTSOFPROJECTIVESPACES¥TANGLIZHONGAbstract:Thispaperdealswiththeexistentialproblemofabelian3-foldsinprodu... 相似文献