On the Lp boundedness of rough parametric Marcinkiewicz functions

Ahmad Al-Salman, Hussain Al-Qassem

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2 Citations (Scopus)

Abstract

In this paper, we study the Lp boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in L(log + L)(Sn-1). Our result in this paper solves an open problem left by the authors of ([6]).

Original languageEnglish
Article number108
JournalJournal of Inequalities in Pure and Applied Mathematics
Volume8
Issue number4
Publication statusPublished - 2007

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Keywords

  • Fourier transforms
  • Parametric Marcinkiewicz operators
  • Parametric maximal functions
  • Rough kernels

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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