Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (4): 977-991.

• Articles • Previous Articles     Next Articles

Lipschtz Estimates for Multilinear Commutator of Marcinkiewicz Operator

 WANG Hua   

  1. School of Mathematics and Computering, Changsha |University |of Science and Technology, Changsha 410114
  • Received:2012-11-08 Revised:2013-12-07 Online:2014-08-25 Published:2014-08-25
  • Supported by:

    湖南省科技厅项目(12fj4252)和湖南省自然科学基金(12jj3006) 资助.

Abstract:

In this paper, we will study the continuity of multilinear commutator generated by Marcinkiewicz operator and functions bj
on Triebel-Lizorkin space, Hardy space and Herz-Hardy space, where bj belongs to Lipschiz space.

Key words: Marcinkiewicz operator, Multilinear commutator, Triebel-Lizorkin space,  Herz-Hardy space, Herz space

CLC Number: 

  • 42B20
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