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WEIGHTED BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL HARDY OPERATORS WITH BESOV-LIPSCHITZ FUNCTIONS 被引量:2

WEIGHTED BOUNDEDNESS OF COMMUTATORS OF FRACTIONAL HARDY OPERATORS WITH BESOV-LIPSCHITZ FUNCTIONS
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摘要 In this paper, we establish two weighted integral inequalities for commutators of fractional Hardy operators with Besov-Lipschitz functions. The main result is that this kind of commutator, denoted by H^ab, is bounded from L^Pxy (R+) to L^qxδ (R+) with the bound explicitly worked out. In this paper, we establish two weighted integral inequalities for commutators of fractional Hardy operators with Besov-Lipschitz functions. The main result is that this kind of commutator, denoted by H^ab, is bounded from L^Pxy (R+) to L^qxδ (R+) with the bound explicitly worked out.
出处 《Analysis in Theory and Applications》 2012年第1期79-86,共8页 分析理论与应用(英文刊)
基金 Supported in part by the Natural Science Foundation of China under the Grant 10771221 Natural Science Foundation of Beijing under the Grant 1092004
关键词 fractional Hardy operator COMMUTATOR Besov-Lipschitz function fractional Hardy operator, commutator, Besov-Lipschitz function
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