共查询到19条相似文献,搜索用时 78 毫秒
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向量值Lipschitz鞅空间p_λ~β(X)和p_∧~β(X) 总被引:1,自引:0,他引:1
本文研究了Banach空间值Lipchitz 鞅空间。与与 之间的相互嵌入关系,以及与小指标Hardy 鞅空间,的共轭空间之间的相互嵌入关系,其结果与值空间的凸性和光滑 性有着密切的联系, 相似文献
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于林 《应用泛函分析学报》2003,(4)
证明了B值鞅空间,pHSr(X)和pHσr(X)的共轭分别是qKSr′(X*)与qKσr′(X*),此外还讨论了pKSr(X)和pKr(X),pKσr(X)和pK+r(X)的相互嵌入关系与Banach空间的p一致光滑性和q一致凸性之间的密切联系. 相似文献
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Banach值鞅变换算子的有界性 总被引:7,自引:0,他引:7
本文运用Banach值鞅不等式和鞅空间的相互嵌入关系.讨论了Banach空间值鞅空间上鞅变换算子L的有界性.并给出了鞅变换算子的有界性与Banach空间几何性质的关系. 相似文献
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本文对几类B值小指标鞅空间建立了原子分解定理,利用原子分解讨论了它们之间的相互嵌入关系,其原子分解的存在性和它们之间的关系均与Banach空间的凸性和光滑性有密切联系. 相似文献
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于林 《应用泛函分析学报》2003,5(4):362-368
证明了B值鞅空间,pH^Sr(X)和pH^σr(X)的共轭分别是qK^Sr′(X^*)与qK^σr′(X^*),此外还讨论了pK^Sr(X)和pKr(X),pK^σr(X)和pK^ r(X)的相互嵌入关系与Banach空间的P一致光滑性和q一致凸性之间的密切联系. 相似文献
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对于一系列由平削算子生成的Banach空间值鞅空间建立了原子分解定理 ,并以此为工具讨论了它们之间的相互嵌入关系 ,其结果与Banach空间的凸性和光滑性有密切联系 . 相似文献
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本文研究了B值弱Hardy两指标鞅空间的原子分解理论,利用原子分解的方法, 获得了B值弱Hardy两指标鞅空间的相互嵌入关系,所得结果联系于Banach空间的几何性质. 相似文献
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引入了原子鞅与正则原子鞅概念、并研究了两类Banach空间值鞅Hardy空间的原子分解和有限鞅的稠密性,所得结论揭示了鞅Hardy空间正则原子鞅分解的存在性,有限鞅的稠密性和Banach空间的一致光滑性(或一致凸性)三者之间的内在联系. 相似文献
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Weak martingale Hardy spaces and weak atomic decompositions 总被引:3,自引:0,他引:3
HOU Youliang & REN Yanbo School of Mathematics Statistics Wuhan University Wuhan China Department of Mathematics & Physics Henan University of Science Technology Luoyang China 《中国科学A辑(英文版)》2006,49(7):912-921
In this paper we define some weak martingale Hardy spaces and three kinds of weak atoms. They are the counterparts of martingale Hardy spaces and atoms in the classical martingale Hp-theory. And then three atomic decomposition theorems for martingales in weak martingale Hardy spaces are proved. With the help of the weak atomic decompositions of martingale, a sufficient condition for a sublinear operator defined on the weak martingale Hardy spaces to be bounded is given. Using the sufficient condition, we obtain a series of martingale inequalities with respect to the weak Lp-norm, the inequalities of weak (p ,p)-type and some continuous imbedding relationships between various weak martingale Hardy spaces. These inequalities are the weak versions of the basic inequalities in the classical martingale Hp-theory. 相似文献
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K.-P. Ho 《Acta Mathematica Hungarica》2016,149(1):177-189
We establish the atomic decompositions of martingale Hardy– Morrey spaces. The martingale Hardy–Morrey spaces are generalizations of martingale Hardy spaces. Therefore, the atomic decompositions presented in this paper are extensions of the atomic decompositions of martingale Hardy spaces. 相似文献
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Several interpolation theorems on martingale Hardy spaces over weighted measure spaces are given. Our proofs are based on the atomic decomposition of martingale Hardy spaces over weighted measure spaces. As applications of interpolation theorems, some inequalities of martingale transform operator are obtained. 相似文献
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Interpolation theorems on weighted Lorentz martingale spaces 总被引:2,自引:0,他引:2
Yong JIAO~ Li-ping FAN Pei-de LIU School of Mathematics Statistics Wuhan University Wuhan China 《中国科学A辑(英文版)》2007,50(9):1217-1226
In this paper several interpolation theorems on martingale Lorentz spaces are given.The proofs are based on the atomic decompositions of martingale Hardy spaces over weighted measure spaces.Applying the interpolation theorems,we obtain some inequalities on martingale transform operator. 相似文献
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Kwok-Pun HO 《数学物理学报(B辑英文版)》2018,38(1):93-109
We introduce the martingale Morrey spaces built on Banach function spaces. We establish the Doob's inequality, the Burkholder-Gundy inequality and the boundedness of martingale transforms for our martingale Morrey spaces. We also introduce the martingale block spaces. By the Doob's inequality on martingale block spaces, we obtain the Davis' decompositions for martingale Morrey spaces. 相似文献
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任颜波 《数学年刊A辑(中文版)》2015,36(2):119-128
对3类由凹函数生成的弱Orlicz鞅空间建立了相应的弱原子分解.作为应用,首先给出了这些弱Orlicz鞅空间上次线性算子有界的一个充分条件,并在此基础上证明了一些弱型鞅不等式,然后证明了关于这些弱Orlicz鞅空间的Marcinkiewicz型插值定理. 相似文献
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本文研究了变指数Lorentz鞅空间的插值问题.利用函数参数方法,获得了几类变指数Lorentz鞅空间的插值定理,推广了常指数Hp鞅空间下的结果. 相似文献
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By the weak atomic decompositions of weak martingale Hardy spaces, we investigate the interpolation spaces between weak martingale Hardy spaces and martingale Hardy spaces. 相似文献