Marcinkiewicz integrals on product spaces

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

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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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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.