Boundedness for commutators of Bochner-Riesz operators below a critical index

In this paper, the authors obtain a necessary and sufficient condition for the L boundedness of commutators generated by Bochner-Riesz operators below a critical index and Lipschitz functions in two dimensional case. The authors also discuss a similar problem for higher dimensions.

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Bibliographic Details
Published inScience in China. Series A, Mathematics, physics, astronomy Vol. 50; no. 6; pp. 801 - 813
Main Authors Lu, Shan-zhen, Xia, Xia
Format Journal Article
LanguageEnglish
Published School of Mathentical Sciences, Beijing Normal University, Beijing 100875, China 01.06.2007
Subjects
commutator
Lipschitz functions
Bochner-Riesz operators
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Summary:In this paper, the authors obtain a necessary and sufficient condition for the L boundedness of commutators generated by Bochner-Riesz operators below a critical index and Lipschitz functions in two dimensional case. The authors also discuss a similar problem for higher dimensions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1006-9283
1862-2763
DOI:10.1007/s11425-007-0043-2