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)

Abstract

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
Volume25
Issue number4
Publication statusPublished - 2001

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Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)

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