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The Boundedness Of Marcinkiewicz Commutators And Some Multilinear Operators

Posted on:2016-10-21Degree:MasterType:Thesis
Country:ChinaCandidate:P ChenFull Text:PDF
GTID:2180330470463404Subject:Basic mathematics
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In the recent paper, we study the boundedness of Marcinkiewicz commutators and some multilinear operators. The paper is constituted with three chapters.In chapter 1, we introduce the background and main results about Marcinkiewicz integral operator and its commutators and m-linear singular integral operator and other operators associated with it. Besides, we also simply illustrate how and why this topics comes out.In chapter 2, we present The boundedness of Marcinkiewicz commutators on non-homogeneous metric measure spaces.In chapter 3, we consider The boundedness of some multilinear operators on Bσ-Morrey spaces.
Keywords/Search Tags:Marcinkiewicz commutators, Non-homogeneous metric space, B_σ-Morrey space, singular integral, Hardy-Littlewood maximal operator, fractional integral operator
PDF Full Text Request
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