THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br#
AND HERZ-TYPE SPACES

Zhou Weijun; Ma Bolin; Xu Jingshi

doi:10.1016/S0252-9602(07)60036-8

Acta mathematica scientia, Series B >

2007 , Vol. 27 >Issue 2: 361 - 372

DOI: https://doi.org/10.1016/S0252-9602(07)60036-8

Articles

THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br# AND HERZ-TYPE SPACES

Zhou Weijun ,
Ma Bolin ,
Xu Jingshi

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College of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha 410077, China

Received date: 2004-12-24

Revised date: 2005-08-20

Online published: 2007-04-20

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Abstract

The boundedness of maximal multilinear commutator on certain weighted spaces is obtained. The boundedness of mulitilinear commutators of singular integrals with Calderon--Zygmund kernel on Herz-type spaces is also considered.

Key words： Commutator; maximal operator; Herz space; singular integral

Cite this article

Zhou Weijun , Ma Bolin , Xu Jingshi . THE BOUNDEDNESS OF MULTILINEAR COMMUTATORS ON WEIGHTED SPACES#br# AND HERZ-TYPE SPACES[J]. Acta mathematica scientia, Series B, 2007 , 27(2) : 361 -372 . DOI: 10.1016/S0252-9602(07)60036-8

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