Marcinkiewicz functions with hardy space kernels

Research output: Contribution to journalArticle

Abstract

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
Volume21
Issue number2
DOIs
Publication statusPublished - Apr 1 2018

Fingerprint

Hardy Space
Polynomials
Marcinkiewicz Integral
kernel
Lp Estimates
Integral Operator
Convex function
Generalise
Polynomial

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Marcinkiewicz functions with hardy space kernels. / Al-Salman, Ahmad.

In: Mathematical Inequalities and Applications, Vol. 21, No. 2, 01.04.2018, p. 553-567.

Research output: Contribution to journalArticle

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