Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces

Suppose b= (b1,…,bm) E (BMO)^m, Iα,m^∏b is the iterated commutator of b and the m-linear multilinear fractional integral operator Iα,m. The purpose of this paper is to discuss the boundedness properties of Iα,m and Iα,m^∏b on generalized Herz spaces with general Muckenhoupt weights....

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Veröffentlicht in:Analysis in theory & applications 2016, Vol.32 (2), p.103-121
1. Verfasser: Yueshan Wang Yuexiang He
Format: Artikel
Sprache:eng
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Zusammenfassung:Suppose b= (b1,…,bm) E (BMO)^m, Iα,m^∏b is the iterated commutator of b and the m-linear multilinear fractional integral operator Iα,m. The purpose of this paper is to discuss the boundedness properties of Iα,m and Iα,m^∏b on generalized Herz spaces with general Muckenhoupt weights.
ISSN:1672-4070
1573-8175
DOI:10.4208/ata.2016.v32.n2.1