Singular integrals associated to homogeneous mappings with rough kernels

H. Al-Qassem, A. Al-Salman, Y. Pan

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

In this paper, we study the Lp mapping properties of singular integral operators related to homogeneous mappings with kernels belonging to certain block spaces. An example is presented to show that our condition on the kernel is nearly optimal.

Original languageEnglish
Pages (from-to)551-569
Number of pages19
JournalHokkaido Mathematical Journal
Volume33
Issue number3
DOIs
Publication statusPublished - Jan 1 2004

Keywords

  • Block spaces
  • Fourier transform
  • L boundedness
  • Oscillatory integrals
  • Rough kernels
  • Singular integrals

ASJC Scopus subject areas

  • Mathematics(all)

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