Parabolic Marcinkiewicz integrals along surfaces on product domains

Ahmad Al-Salman*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


In this paper, parabolic Marcinkiewicz integral operators along surfaces on the product domain ℝn × ℝm (n,m ≥ 2) are introduced. Lp bounds of such operators are obtained under weak conditions on the kernels.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalActa Mathematica Sinica, English Series
Issue number1
Publication statusPublished - Jan 2011


  • Fourier transform
  • Parabolic Marcinkiewicz integral operators
  • Parabolic maximal functions
  • Rough kernels

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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