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Parabolic Marcinkiewicz integrals along surfaces on product domains

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Abstract

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

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  1. Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khod 123, Muscat, Sultanate of Oman

    Ahmad Al-Salman

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  1. Ahmad Al-Salman
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Correspondence to Ahmad Al-Salman.

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Al-Salman, A. Parabolic Marcinkiewicz integrals along surfaces on product domains. Acta. Math. Sin.-English Ser. 27, 1–18 (2011). https://doi.org/10.1007/s10114-010-9653-7

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  • DOI: https://doi.org/10.1007/s10114-010-9653-7

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