Lp Boundedness of a class of singular integral operators with rough kernels

Hussain Al-Qassem, Ahmad Al-Salman

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8 Citations (Scopus)


In this paper, we study the Lpmapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x = Φ (|y|)y′} where Φ satisfies certain growth conditions. Our results improve as well as extend previously known results on singular integrals.

Original languageEnglish
Pages (from-to)519-533
Number of pages15
JournalTurkish Journal of Mathematics
Issue number4
Publication statusPublished - 2001



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

ASJC Scopus subject areas

  • Mathematics(all)

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