Boundedness of Commutators of High-Dimensional Hausdorff Operators

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.

Bibliographic Details
Main Authors: Guilian Gao, Houyu Jia
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/541205
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spelling doaj-996bce14abdb4cb5a71d162280fbbf2d2020-11-24T22:29:15ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/541205541205Boundedness of Commutators of High-Dimensional Hausdorff OperatorsGuilian Gao0Houyu Jia1Department of Mathematics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou 310027, ChinaWe 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.http://dx.doi.org/10.1155/2012/541205
collection DOAJ
language English
format Article
sources DOAJ
author Guilian Gao
Houyu Jia
spellingShingle Guilian Gao
Houyu Jia
Boundedness of Commutators of High-Dimensional Hausdorff Operators
Journal of Function Spaces and Applications
author_facet Guilian Gao
Houyu Jia
author_sort Guilian Gao
title Boundedness of Commutators of High-Dimensional Hausdorff Operators
title_short Boundedness of Commutators of High-Dimensional Hausdorff Operators
title_full Boundedness of Commutators of High-Dimensional Hausdorff Operators
title_fullStr Boundedness of Commutators of High-Dimensional Hausdorff Operators
title_full_unstemmed Boundedness of Commutators of High-Dimensional Hausdorff Operators
title_sort boundedness of commutators of high-dimensional hausdorff operators
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/541205
work_keys_str_mv AT guiliangao boundednessofcommutatorsofhighdimensionalhausdorffoperators
AT houyujia boundednessofcommutatorsofhighdimensionalhausdorffoperators
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