Year: 2012
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 79–86
Abstract
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 $H^{\alpha}_b$, is bounded from $L^p_{x^\gamma} (R_+)$ to $L^q_{x^\delta} (R_+)$ with the bound explicitly worked out.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2012.v28.n1.10
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 79–86
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: fractional Hardy operator commutator Besov-Lipschitz function.