共查询到20条相似文献,搜索用时 15 毫秒
1.
Let (Φ, Ψ) be a pair of complementary N-functions and
HΦ(A) and
HΨ(A) be the associated noncommutative Orlicz-Hardy spaces. We extend the Riesz, Szegö and inner-outer type factorization theorems of
Hp(A) to this case. 相似文献
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Let x =(xn)n≥1 be a martingale on a noncommutative probability space (M,T) and (wn)n≥1 a sequence of positive numbers such that Wn =n∑k=1wk → ∞ as n → ∞.We prove that x =(xn)n≥1 converges in E(M) if an... 相似文献
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We introduce noncommutative Hardy-Lorentz spaces and give the Szegō and inner-outer type factorizations of these spaces. 相似文献
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Stefan Geiss 《Mathematische Nachrichten》2001,223(1):33-48
We compute the absolutely L – summing norms of the diagonal operators acting on lr (1 ≤ q, r < ∞) and determine the limit orders of the absolutely Lexp – summing operators. 相似文献
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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
8.
Waldemar Pompe 《Mathematical Methods in the Applied Sciences》2008,31(7):775-792
A classical result in the theory of monotone operators states that if C is a reflexive Banach space, and an operator A: C→C* is monotone, semicontinuous and coercive, then A is surjective. In this paper, we define the ‘dual space’ C* of a convex, usually not linear, subset C of some Banach space X (in general, we will have C*⊃X*) and prove an analogous result. Then, we give an application to problems from viscoplasticity theory, where the natural space to look for solutions is not linear. Copyright © 2007 John Wiley & Sons, Ltd. 相似文献
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Orlicz序列空间的一致单调系数及应用 总被引:3,自引:0,他引:3
本文给出了Orlicz序列空间一致单调系数数值,同时给出了Orlicz序列空间具有一致单调性的条件,进而讨论具有一致单调性的Orlicz序列空间中的最佳逼近算子的一些特征。 相似文献
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Stancu-Kantorovich算子在Ba空间的逼近 总被引:5,自引:0,他引:5
讨论Stancu-Kantorovich算子在Ba空间中的逼近阶与饱和性质,得到了逼所阶的一种估计与饱和性定理。 相似文献
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本文讨论赋Orlicz范数的Orlicz序列空间LM,主要结果如下:(1)LM具有Lami-Dozo性质 相似文献
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In this paper, the authors study the inclusion relations between Dirichlet type spaces DT and α-Bloch spacesβα by means of higher radial derivative. The strictness and the best possibility of the inclusion relations are shown with constructive methods.Furthermore, they sharpen one of the results when T = n, which proves that a conjecture in [7] is true. 相似文献
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《Quaestiones Mathematicae》2013,36(4):299-313
ABSTRACT Let Λ be a scalar sequence space which is endowed with a normal locally convex topology. For a separated locally convex space E we denote by Λ(E) the vector space of all sequences g in E for which (>g(i),a<) ε Λ for all a ε E'. We define a locally convex topology ζ on Λ(E) and then characterize the dual of the ζ-closure (denoted by Λc (E)) of the finite sequences in Λ(E). We demonstrate the existence of a continuous projection from Λ(E)' onto a subspace of Λ(E)' which is isomorphic to Λc(E)'. Furthermore, we find a topological decomposition of Λα c (E)”, where one of the factors is isomorphic to Λ;α(E). These results are then applied to find necessary and sufficient conditions for Λα(E) to be semi-reflexive. A parallel development yields the same results for the space Λ(E') of all sequences f in E' for which (>x, f(i)<) ε Λ; for all x ε E, when E is barrelled. We conclude the paper by application of the results on vector sequence spaces to spaces of operators—including for instance, necessary and sufficient conditions for Lb (E,Λ;) and Lb (Λ,E) to be semi-reflexive. 相似文献
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Yoshihiro Mizuta 《复变函数与椭圆型方程》2019,64(2):283-299
We introduce central generalized Orlicz–Morrey spaces on the unit ball, and study the weighted behavior of spherical means for Riesz potentials of functions in those spaces. We also treat Orlicz–Morrey–Sobolev functions which are monotone in the punctured unit ball in the sense of Lebesgue. 相似文献
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本文研究了算子的插值问题.利用Riesz-Thorin定理的证明方法,并运用Daubechies小波得到了Besov空间上的线性算子的插值定理. 相似文献
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谭昌眉 《数学物理学报(A辑)》2004,24(1):81-87
该文证明了一个与Littlewood Paley 算子有关的不等式,并由此导出Littlewood Paley 算子在加权Orlicz 空间和Morrey空间的有界特征。 相似文献
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Les
aw Skrzypek 《Journal of Approximation Theory》2003,123(2):214-231
We will construct a minimal and co-minimal projection from Lp([0,1]n) onto Lp([0,1]n1)++Lp([0,1]nk), where n=n1++nk (see Theorem 2.9). This is a generalization of a result of Cheney, Halton and Light from (Approximation Theory in Tensor Product Spaces, Lecture Notes in Mathematics, Springer, Berlin, 1985; Math. Proc. Cambridge Philos. Soc. 97 (1985) 127; Math. Z. 191 (1986) 633) where they proved the minimality in the case n=2. We provide also some further generalizations (see Theorems 2.10 and 2.11 (Orlicz spaces) and Theorem 2.8). Also a discrete case (Theorem 2.2) is considered. Our approach differs from methods used in [8,13,20]. 相似文献