Lp boundedness of some rough operators with different weights

Yong Ding, Chin Cheng Lin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In this paper we prove that the maximal operator MΩ, the singular integral operator TΩ, and the maximal singular integral operator TΩ with rough kernels are all bounded operators from Lp(v) to Lp(u) for the weight functions pair (u;v). Here the kernel function Ω satisfies a size condition only; that is, Ω ∈ Lp(Sn-1), q > 1, but has no smoothness on Sn-1.

Original languageEnglish
Pages (from-to)209-230
Number of pages22
JournalJournal of the Mathematical Society of Japan
Issue number1
StatePublished - 2003


  • A weight
  • maximal operator
  • rough kernel
  • singular integral


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