Marcinkiewicz functions with hardy space kernels

Ahmad Al-Salman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


In this paper we prove Lp estimates of Marcinkiewicz integral operators with kernels in the Hardy space and supported on general subvarieties. The considered subvarieties are of the type that caries partially the polynomial behavior as well as the behavior of convex functions. Results obtained in this paper improve as well as generalize known results.

Original languageEnglish
Pages (from-to)553-567
Number of pages15
JournalMathematical Inequalities and Applications
Issue number2
Publication statusPublished - Apr 2018


  • Area integral
  • Convex functions
  • Fourier transform
  • Hardy space
  • Littlewood-Paley g? ? functions
  • Marcinkiewicz integrals
  • Rough kernels

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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