数学物理学报(英文版)

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

周伟军; 马柏林; 徐景实   

  1. 长沙理工大学数学与计算科学学院, 长沙 410077
  • 收稿日期:2004-12-24 修回日期:2005-08-20 出版日期:2007-04-20 发布日期:2007-04-20
  • 通讯作者: 周伟军
  • 基金资助:

    The second author was supported by NNSF of China (10371004) and
    the third author was supported by the NNSF of China (60474070)

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

摘要:

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.

关键词: Commutator, maximal operator, Herz space, singular integral

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

中图分类号: 

  • 42B35