Commutators of weighted Hardy operators on \mathbb {R}^{n}

The purpose of this paper is to establish a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy operators (with symbols in BMO(\mathbb {R}^{n})) on L^{p}(\mathbb {R}^{n}), where 1

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2009-10, Vol.137 (10), p.3319-3319
Main Authors: Fu, Zun Wei, Liu, Zong Guang, Lu, Shan Zhen
Format: Article
Language:English
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Summary:The purpose of this paper is to establish a sufficient and necessary condition on weight functions which ensures the boundedness of the commutators of weighted Hardy operators (with symbols in BMO(\mathbb {R}^{n})) on L^{p}(\mathbb {R}^{n}), where 1
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-09-09824-4