Acta mathematica scientia,Series B

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

Zhou Weijun; Ma Bolin; Xu Jingshi   

  1. College of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha 410077, China
  • Received:2004-12-24 Revised:2005-08-20 Online:2007-04-20 Published:2007-04-20
  • Contact: Zhou Weijun

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

CLC Number: 

  • 42B35
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