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    题名 作者 年代 出处 被引量
1Hardy spaces H^p over non-homogeneous metric measure spaces and their applications显示文摘Let(X,d,)be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.Let ρ∈(1,∞),0FU Xing LIN Hai Bo YANG Da Chun YANG Dong Yong 2015Science China Mathematics2015,58,2:32
2Hardy-Hausdorff spaces on the Heisenberg group显示文摘In this paper, by using the tent spaces on the Siegel upper half space, which are defined in terms of Choquet integrals with respect to Hausdorff capacity on the Heisenberg group, the Hardy-Hausdorff spaces on the Heisenberg group are introduced. Then, by applying the properties of the tent spaces on the Siegel upper half space and the Sobolev type spaces on the Heisenberg group, the atomic decomposition of the Hardy-Hausdorff spaces is obtained. Finally, we prove that the predual spaces of Q spaces on the Heisenberg group are the Hardy-Hausdorff spaces.ZHAO Kai 2016Science China Mathematics2016,59,11:4
3Various characterizations of product Hardy spaces associated to Schrdinger operators显示文摘For every i = 1, 2, we let Li =-?ni+ Vi be a Schr¨odinger operator on Rni in which Vi∈ L1loc(Rni)is a non-negative function on Rni. We obtain some characterizations for functions in the product Hardy space H1L1,L2(Rn1 × Rn2) associated to L1 and L2 by using different norms on distinct variables.LIU SuYing ZHAO Kai 2015Science China Mathematics2015,58,12:3
4相关于微分算子的(Musielak-)Orlicz-Hardy空间的实变理论及其应用显示文摘众所周知,Calderón-Zygmund奇异积分算子理论及刻画这些算子有界性的各种函数空间的实变理论因其在调和分析和偏微分方程等数学分支中有重要的应用而成为现代调和分析的主要内容之一.然而,经典函数空间的实变理论已不再适用于刻画相关于某些比Laplace算子更一般的微分算子的奇异积分算子的有界性.因此,对不同的算子发展与其相适应的、能刻画其相关奇异积分算子有界性的函数空间的实变理论已成为调和分析中近年来十分活跃的研究方向之一.本文主要研究n维欧氏空间Rn、Rn中的强Lipschitz区域或更一般的带双倍测度的度量空间上与包括二阶散度型椭圆算子和Schr?dinger算子在内的微分算子相关的(Musielak-)Orlicz-Hardy空间的实变理论及其在算子有界性中的应用.杨四辈 杨大春 2015中国科学:数学2015,45,2:0
5Characterizations of product Hardy space associated to Schrodinger operators显示文摘Let L1 and L2 be the Schrodinger operators on Rn and Rm, respectively. By using different maximal functions and Littlewood-Paley g function on distinct variables, in this paper,some characterizations for functions in the product Hardy space HL1,L21(R^n×R^m) associated to operators L1 and L2 are obtained.ZHAO Kai LIU Su-ying JIANG Xiu-tian 2019Applied Mathematics(A Journal of Chinese Universities)2019,34,4:0
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