COMMUTATORS OF WEIGHTED HARDY OPERATORS ON ℝⁿ

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(ℝⁿ)) on Lp(ℝⁿ), where 1 < p < ∞.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2009-10, Vol.137 (10), p.3319-3328
Main Authors: FU, ZUN WEI, LIU, ZONG GUANG, LU, SHAN ZHEN
Format: Article
Language:English
Subjects:
Commutators
Exact sciences and technology
General mathematics
General, history and biography
Mathematical functions
Mathematical inequalities
Mathematical integrals
Mathematics
Necessary conditions
Sciences and techniques of general use
Weighting functions
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Description
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(ℝⁿ)) on Lp(ℝⁿ), where 1 < p < ∞.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-09-09824-4