Boundedness for Multilinear Commutators of Marcinkiewicz Integral on Morrey-Herz Spaces with Non Doubling Measures

Boundedness for Multilinear Commutators of Marcinkiewicz Integral on Morrey-Herz Spaces with Non Doubling Measures

Year:    2013

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 1 : pp. 62–71

Abstract

In this paper, the authors establish the boundedness of multilinear commutators generated by a Marcinkiewicz integral operator and a RBMO$(\mu)$ function on homogeneous Morrey-Herz spaces with non doubling measures.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/ata.2013.v29.n1.7

Analysis in Theory and Applications, Vol. 29 (2013), Iss. 1 : pp. 62–71

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Marcinkiewicz integral commutator Morrey-Herz space non doubling measure RBMO function.