Marcinkiewicz integrals on product spaces

H. Al-Qassem, A. Al-Salman, L. C. Cheng, Y. Pan

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We prove the L p boundedness of the Marcinkiewicz integral operators μΩ on ℝ n1 × ... × ℝ nk under the condition that Ω∈L(log L) k/2(struck S sign n1-1 × ... × struck S sign nk-1). The exponent k/2 is the best possible. This answers an open question posed in [?].

Original languageEnglish
Pages (from-to)227-234
Number of pages8
JournalStudia Mathematica
Volume167
Issue number3
Publication statusPublished - 2005

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Marcinkiewicz Integral
Product Space
Integral Operator
Boundedness
Exponent

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Al-Qassem, H., Al-Salman, A., Cheng, L. C., & Pan, Y. (2005). Marcinkiewicz integrals on product spaces. Studia Mathematica, 167(3), 227-234.

Marcinkiewicz integrals on product spaces. / Al-Qassem, H.; Al-Salman, A.; Cheng, L. C.; Pan, Y.

In: Studia Mathematica, Vol. 167, No. 3, 2005, p. 227-234.

Research output: Contribution to journalArticle

Al-Qassem, H, Al-Salman, A, Cheng, LC & Pan, Y 2005, 'Marcinkiewicz integrals on product spaces', Studia Mathematica, vol. 167, no. 3, pp. 227-234.
Al-Qassem H, Al-Salman A, Cheng LC, Pan Y. Marcinkiewicz integrals on product spaces. Studia Mathematica. 2005;167(3):227-234.
Al-Qassem, H. ; Al-Salman, A. ; Cheng, L. C. ; Pan, Y. / Marcinkiewicz integrals on product spaces. In: Studia Mathematica. 2005 ; Vol. 167, No. 3. pp. 227-234.
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