On multilinear commutators of Θ-type Calderón-Zygmund operators

In this paper, we discuss the multilinear commutator of θ -type Calderón-Zygmund operators, and obtain that this kind of multilinear commutators is bounded from L p (ℝ n ) to L q (ℝ n ), from L p (ℝ n ) to Triebel-Lizorkin spaces and on certain Hardy type spaces.

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 24; no. 3; pp. 260 - 270
Main Authors Xie, Rulong, Shu, Lisheng
Format Journal Article
LanguageEnglish
Published Heidelberg Editorial Board of Analysis in Theory and Applications 01.09.2008
Subjects
Analysis
Approximations and Expansions
Mathematics
Mathematics and Statistics
multilinear commutator
θ-type Calderón-Zygmund operator
42B30
42B20
Triebel-Lizorkin space
Hardy space
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ISSN1672-4070
1573-8175
DOI10.1007/s10496-008-0260-8

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Summary:In this paper, we discuss the multilinear commutator of θ -type Calderón-Zygmund operators, and obtain that this kind of multilinear commutators is bounded from L p (ℝ n ) to L q (ℝ n ), from L p (ℝ n ) to Triebel-Lizorkin spaces and on certain Hardy type spaces.
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-008-0260-8