boundedness for maximal commutators with rough variable kernels

  • Yanping Chen

    University of Sciences and Technology, Beijing, China
  • Yong Ding

    Beijing Normal University, China
  • Ran Li

    Beijing Normal University, China


For and , the -th order maximal commutator of the singular integral operator with rough variable kernels is defined by

In this paper the authors prove that the -th order maximal commutator is a bounded operator on if satisfies the same conditions given by Calderón and Zygmund. Moreover, the -boundedness of the -th order commutator of the rough maximal operator with variable kernel, which is defined by

is also given here. These results obtained in this paper are substantial improvement and extension of some known results.

Cite this article

Yanping Chen, Yong Ding, Ran Li, boundedness for maximal commutators with rough variable kernels. Rev. Mat. Iberoam. 27 (2011), no. 2, pp. 361–391

DOI 10.4171/RMI/640