Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 930-945.

• Articles • Previous Articles     Next Articles

Weighted Lipschitz Estimates for Vector-valued Multilinear Operators

 ZHOU Xiao-Sha, LIU Lan-Zhe   

  1. Department of Mathematics, Changsha University of Science and Technology, Changsha 410077
  • Received:2009-05-20 Revised:2010-07-09 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    湖南省教育厅项目(09C057)资助

Abstract:

In this paper, the weighted boundedness for the vector-valued multilinear operators generated by some integral operators and the weighted Lipschitz functions are obtained. The operators include Calder\'on-Zygmund singular integral operator, fractional integral operator, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

Key words: Vector-valued multilinear operators, Calderon-Zygmund singular integral operator,  Fractional integral operator, Littlewood-Paley operator, Marcinkiewicz operator, Bochner-Riesz operator, Lipschitz space,  Triebel-Lizorkin space

CLC Number: 

  • 42B20
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