Boundedness of Commutators of High-Dimensional Hausdorff Operators

We prove the boundedness of commutators of high-dimensional Hausdorff operators HΦ,b on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.

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Bibliographic Details
Published in:Journal of function spaces 2012-01, Vol.2012 (2012), p.1-12
Main Authors: Gao, Guilian, Jia, Houyu
Format: Article
Language:English
Subjects:
Harmonic analysis
Inequality
Mathematical functions
Studies
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Description
Summary:We prove the boundedness of commutators of high-dimensional Hausdorff operators HΦ,b on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.
ISSN:0972-6802
2314-8896
1758-4965
2314-8888
DOI:10.1155/2012/541205