Necessary and Sufficient Conditions for Boundedness of Commutators of the General Fractional Integral Operators on Weighted Morrey Spaces

Zengyan Si and Fayou Zhao

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We prove that b is in Lipβ(ω) if and only if the commutator [b, L−α/2] of the multiplication operator by b and the general fractional integral operator L−α/2 is bounded from the weighted Morrey space Lp,k(ω) to Lq,kq/p(ω1−(1−α/n)q, ω), where 0 (1 − k)/(p/(q − k)), and here rω denotes the critical index of ω for the reverse Hölder condition.

Date: 2012
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https://doi.org/10.1155/2012/929381

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:929381

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