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Estimates for Vector-valued Commutators on Weighted Morrey Space and applications

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Acta Mathematica Sinica,English Series 2013年第5期29卷 883-896页

作者： Shao Guang SHI School of Science Linyi University School of Mathematical Sciences Beijing Normal University

In this paper, we introduce weighted vector-valued Morrey spaces and obtain some estimates for vector-valued commutators on these spaces. applications to CalderSn-Zygmund singular integral operators, oscillatory singu... 详细信息

关键词： Weighted Morrey space vector-valued commutator ap weights

Weighted Estimates for Multilinear Commutators of Marcinkiewicz Integral

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Acta Mathematica Sinica,English Series 2008年第8期24卷 1387-1400页

作者： Pu ZHANG Department of Mathematics Mudanjiang Teachers College Mudanjiang 157012 P. R. China

Let μ be the n-dimensional Marcinkiewicz integral and μb the multilinear commutator of μ. In this paper, the following weighted inequalities are proved for ω ∈ A∞ and 0 〈 p 〈 ∞,｜｜μ（f）｜｜LP（ω）≤C｜Mf｜LP（ω） and ｜｜μb（f）｜｜LP（ω）≤C｜｜ML（log L）^1/r f｜｜LP（ω）.The weighted weak L（log L）^1/r -type estimate is also established when p=1 and ω∈A1.

关键词： Marcinkiewicz integral multilinear commutator sharp function ap weights

Weighted Endpoint Estimates for Commutators of Marcinkiewicz Integrals

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Acta Mathematica Sinica,English Series 2010年第9期26卷 1709-1722页

作者： Pu ZHANG Department of Mathematics Mudanjiang Teachers College Mudanjiang 157012 P. R. China

Let μΩ^mb be the commutator generalized by μΩ, the n-dimensional Marcinkiewicz integral, and b ∈ BMO（R^n）. The author establishes the weighted weak LlogL-type estimates for μΩ^mb when Ω satisfies a kind of D... 详细信息

关键词： Marcinkiewicz integral commutator BMO(R^n) ap weights

Weighted product Hardy space associated with operators

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Frontiers of Mathematics in China 2020年第4期15卷 649-683页

作者： Qingquan DENG Djalal Eddine GUEDJIBA School of Mathematics and Statistics Hubei Province Key Laboratory of Mathematical PhysicsCentral China Normal UniversityWuhan 430079China Department of Mathematics University of Batna 253 Route de ConstantineFesdisBatna 05078Algeria

Assuming that the operators L1,L2 are self-adjoint and e-tLi(i=1,2)satisfy the generalized Davies-Gaffney estimates,we shall prove that the weighted Hardy space H1L1,L2,w(Rn1×Rn2)associated to operatorsL1,L2 on produ... 详细信息

关键词： Produce Hardy space ap weights Davies-Gaffney estimates

Weighted estimates for strongly singular integral operators with rough kernels

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applied Mathematics and Mechanics(English Edition) 2010年第6期31卷 761-768页

作者：黄文礼陶祥兴李胜宏 Department of Mathematics Zhejiang University Department of Mathematics Zhejiang University of Science and Technology

The Fourier transform and the Littlewood-Paley theory are used to give the weighted boundedness of a strongly singular integral operator defined in this paper. The paper shows that the strongly singular integral opera... 详细信息

关键词： strongly singular integral operators rough kernels ap weights