Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces

Multilinear Fractional Integrals and Commutators on Generalized Herz Spaces

Year:    2016

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 2 : pp. 103–121

Abstract

Suppose $\vec{b}=(b_1,\cdots,b_m)\in (BMO)^m,$ $ I_{\alpha,m}^{{\Pi b}}$ is the iterated commutator of $\vec{b}$ and the $m$-linear multilinear fractional integral operator $I_{\alpha,m}$. The purpose of this paper is to discuss the boundedness properties of $I_{\alpha,m}$ and $I_{\alpha,m}^{{\Pi b}}$ on generalized Herz spaces with general Muckenhoupt weights.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2016.v32.n2.1

Analysis in Theory and Applications, Vol. 32 (2016), Iss. 2 : pp. 103–121

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Multilinear fractional integral generalized Herz space commutator Muckenhoupt weight.

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