BOUNDEDNESS OF COMMUTATORS FOR MARCINKIEWICZ INTEGRALS ON WEIGHTED HERZ-TYPE HARDY SPACES

In this paper, the authors study the boundedness of the operator μ^bΩ, the commutator generated by a function b ∈Lipβ （R^n） （0 〈β 〈 1） and the Marcinkiewicz integral μΩ on weighted Herz-type Hardy spaces.

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 27; no. 4; pp. 365 - 376
Main Author Wu, Cuilan
Format Journal Article
LanguageEnglish
Published Heidelberg Editorial Board of Analysis in Theory and Applications 01.12.2011
Subjects
Analysis
Approximations and Expansions
Marcinkiewicz积分
Mathematics
Mathematics and Statistics
交换子
函数
加权Herz型Hardy空间
换向器
有界性
运营商
commutator
weighted Herz space
Marcinkiewicz integral
42B25
42B20
Hardy space
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ISSN1672-4070
1573-8175
DOI10.1007/s10496-011-0364-4

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Summary:In this paper, the authors study the boundedness of the operator μ^bΩ, the commutator generated by a function b ∈Lipβ （R^n） （0 〈β 〈 1） and the Marcinkiewicz integral μΩ on weighted Herz-type Hardy spaces.
Bibliography:32-1631/O1
Marcinkiewicz integral, commutator, weighted Herz space, Hardy space
In this paper, the authors study the boundedness of the operator μ^bΩ, the commutator generated by a function b ∈Lipβ （R^n） （0 〈β 〈 1） and the Marcinkiewicz integral μΩ on weighted Herz-type Hardy spaces.
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-011-0364-4