The boundedness of maximal Bochner-Riesz operator and maximal commutator on Morrey type spaces

The boundedness of maximal Bochner-Riesz operator B * δ and that of maximal commutator B δ,* b generated by this operator and Lipschitz function on the classical Morrey space and generalized Morrey space are established.

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Bibliographic Details
Published inAnalysis in theory & applications Vol. 24; no. 4; pp. 321 - 329
Main Authors Liu, Yuqing, Chen, Dongxiang
Format Journal Article
LanguageEnglish
Published Nanjing Editorial Board of Analysis in Theory and Applications 01.12.2008
Subjects
Analysis
Approximations and Expansions
Mathematics
commutator
Lipschitz function
42B25
Bochner-Riesz operator
42B30
Morrey space
Bochner-Riesz operator,commutator,Morrey space,Lipschitz functionAMS subject classification: 42B25,42B30
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ISSN1672-4070
1573-8175
DOI10.1007/s10496-008-0321-z

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Summary:The boundedness of maximal Bochner-Riesz operator B * δ and that of maximal commutator B δ,* b generated by this operator and Lipschitz function on the classical Morrey space and generalized Morrey space are established.
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-008-0321-z