共查询到20条相似文献,搜索用时 15 毫秒
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Yue XiukuiDept. of Math. Phys. Shandong Institute of Architecture Engineering Shandong China. 《高校应用数学学报(英文版)》2004,19(3):252-256
§1 IntroductionSuppose thatf is analytic in the open unit disc D in the complex plane.We defineMp(r,f) =12π∫2π0 | f(reiθ) | pdθ1 / p,0
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《Quaestiones Mathematicae》2013,36(3-4):483-503
Abstract Köthe type non-Archimedean spaces are introduced in this paper. Bounded sets, compactoid sets, dual spaces, nuclearity, reflexivity and other properties of such spaces are investigated. 相似文献
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BERGMAN TYPE OPERATOR ON MIXED NORM SPACES WITH APPLICATIONS 总被引:3,自引:0,他引:3
BERGMANTYPEOPERATORONMIXEDNORMSPACESWITHAPPLICATIONSRENGUANGBINSHIJIHUAIAbstractTheauthorsinvestigatetheconditionsforthebou... 相似文献
4.
G.A.Watson 《分析论及其应用》1996,(2)
A peak norm is defined for Lp spaces of E-valued Bochner integrable functions, where E is a Banach space, and best approximations from a sun to elements of the space are characterized. Applications are given to some families of simultaneous best approximation problems. 相似文献
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The purpose of this paper is to prove that on the Riemannian symmetric space of rank-one, and on the complex symmetric space, the maximal functions associated to the heat kernel and to the Poisson kernel are weak (1—1) type bounded, 相似文献
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ZhuYueping 《逼近论及其应用》2002,18(2):65-71
In this note,we consider the multipliers on weighted function spaces over totally disconnected locally compact abelian groups (Vilenkin groups).Firstly we show an (H^1,L^q)multiplier result.We also give an (Ha^p,Ha^p)multiplier results under a similiar condition of Lu Yang type ,In section 2,we obtain a result about the boundedness of multipliers on weighted Besov spaces. 相似文献
8.
《分析论及其应用》2002,(2)
In this nate we consider the multipliers on weighted function spaces over totally disconnected locally compact abelian groups (Vilenkin groups). Firstly we show an (H1 ,L2) multiplier result. We also give an (H(?),H(?)) multiplier result under a similiar condition of Lu Yang type. In section 2, we obtain a result about the boundedness of multipliers on weighted Besov spaces. 相似文献
9.
陈绍春 《数学物理学报(B辑英文版)》1995,(3)
ONTHESELECTIONOFSHAPEFUNCTIONSPACESOFTRIANGULARPLATEELEMENTSChenShaochun;ShiDongyang(Dept.ofSys.Sci.&Math.,ZhengzhouUniv.,Zhe... 相似文献
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WEAK CHEBYSHEV SPACES ON LOCALLY ORDERED TOPOLOGY SPACE AND THE RELATED CONTINUOUS METRIC SELECTIONS
Li Wu 《数学年刊B辑(英文版)》1987,8(4):420-427
Let C(X)be the space of all continuous real-valued functions on a compact Hausdorffspace X under the uniform norm:‖f‖=max{|f(x)|:x∈X}.For G(?)C(X),defineP_G(f)={g∈G:‖f-g‖=inf{‖f-p‖:p∈G}}.If there exists a continuous mapping S from C(X)to G such that S(f)∈P_G(f)for everyf in C(X),then S is called a continuous selection of the metric projection P_G.And G is called a Z-subspace of C(X),if,for every nonzero g in G,g does not vanishon any open subset of X.In this paper,the author gives several characterizations of Z-subspaces G whose metricprojections P_G have continuous selections.The following results are obtained:If X is locally connected and G is an n-dimensional Z-subspace of C(X),then P_G hasa continuous selection if and only if every nonzero g in G has at most n zeros and has atmost n-1 zeros with sign changes. 相似文献
11.
《Quaestiones Mathematicae》2013,36(2):185-214
Abstract We study Dieudonné-Köthe spaces of Lusin-measurable functions with values in a locally convex space. Let Λ be a solid locally convex lattice of scalar-valued measurable functions defined on a measure space Ω. If E is a locally convex space, define Λ {E} as the space of all Lusinmeasurable functions f: Ω → E such that q(f(·)) is a function in Λ for every continuous seminorm q on E. The space Λ {E} is topologized in a natural way and we study some aspects of the locally convex structure of A {E}; namely, bounded sets, completeness, duality and barrelledness. In particular, we focus on the important case when Λ and E are both either metrizable or (DF)-spaces and derive good permanence results for reflexivity when the density condition holds. 相似文献
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The boundedness and the Schatten-von Neumann properties of paracommutators on product spaces are studied. They turn out to be characterized by the membership of their symbols in the BMO space and the Besov spaces on product spaces. 相似文献
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Zhu Jun 《数学年刊B辑(英文版)》1988,9(2):216-220
Collectionwise subnormality is characterized by some covering properties.It followsthat collectionwise subnormality is preserved under closed mappings. 相似文献
14.
Wei Chen 《计算数学(英文版)》2002,(4)
AbstractThis paper discuss band-limited scaling function, especially on the interval band case and three interval bands case, its relationship to oversampling property and weakly translation invariance are also studied. At the end, we propose an open problem. 相似文献
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T.别克 《数学物理学报(B辑英文版)》2005,25(4):681-686
1Introduction and PreliminariesThroughout this paper,we consider linear spaces over the complex numbers C.Given alinear space X and integers m and n,let Mm,n(X)=X?Mm,n denote the linear space ofm×n matricesx=?????x.x..m1,1,1.x..xm1,n,n?????with entries x… 相似文献
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ON VECTOR VALUED ORLICZ SPACES 总被引:2,自引:0,他引:2
Chen Shutao 《数学年刊B辑(英文版)》1984,5(3):293-304
The theory of vector valued Orlicz spaces generated by generalized N-functions wasintroduced by M.S.Skaff(see[1,2]).But the proofs of two main theorems in [2] areincorrect.In this paper,the author exhibits an example to show the incorrectness,givesthe correct proofs and improves one of those theorems. 相似文献
18.
COMPOSITION OPERATOR ON BERS-TYPE SPACES 总被引:2,自引:0,他引:2
Necessary and sufficient conditions are established for a composition operator C f = fo to be bounded or compact on the Bers-type space Ha and the little Bers-type space Ha The boundedness and compactness of the composition operator C on A() are characterized, which generalize the case of C on Ha. 相似文献
19.
《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
20.
凡汝宗 《数学物理学报(B辑英文版)》1992,(1)
Let B be a separable real Banach space and m be a positive measure on B. In this paper, we will establish the Beurling-Deny formulae of the Dirichlet forms on L~2(B, dm). 相似文献