Open AccessWeighted Boundedness of Commutators of Fractional Hardy Operators with Besov-Lipschitz Functions
Author(s) -
Shimo Wang and Dunyan Yan
Publication year - 2012
Publication title -
analysis in theory and applications
Language(s) - English
Resource type - Journals
eISSN - 1672-4070
pISSN - 1573-8175
DOI - 10.4208/ata.2012.v28.n1.10
Subject(s) - mathematics , lipschitz continuity , hardy space , commutator , pure mathematics , mathematical analysis , algebra over a field , lie conformal algebra
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 Hα b , is bounded from L p xγ (R+) to L q xδ (R+) with the bound explicitly worked out.
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