Volume 28, Issue 1
Weighted Boundedness of Commutators of Fractional Hardy Operators with Besov-Lipschitz Functions

Shimo Wang and Dunyan Yan

10.4208/ata.2012.v28.n1.10

Anal. Theory Appl., 28 (2012), pp. 79-86

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  • Abstract

In this paper, we establish two weighted integral inequalities for commutatorsof fractional Hardy operators with Besov-Lipschitz functions. The main result is that thiskind of commutator, denoted by $H^a_b$, is bounded from $L^p_{x^\gamma} (R_+)$ to $L^q_{x^\delta} (R_+)$ with the boundexplicitly worked out.

  • History

Published online: 2012-03

  • AMS Subject Headings

42B20, 42B35

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