Parabolic Marcinkiewicz integrals along surfaces on product domains

Ahmad Al-Salman

doi:10.1007/s10114-010-9653-7

Parabolic Marcinkiewicz integrals along surfaces on product domains

Ahmad Al-Salman^*

^*Corresponding author for this work

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Acta Mathematica Sinica, English Series
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s10114-010-9653-7
Publication status	Published - Jan 2011

Keywords

Fourier transform
Parabolic Marcinkiewicz integral operators
Parabolic maximal functions
Rough kernels

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1007/s10114-010-9653-7

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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. Lp bounds of such operators are obtained under weak conditions on the kernels.",

keywords = "Fourier transform, Parabolic Marcinkiewicz integral operators, Parabolic maximal functions, Rough kernels",

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KW - Parabolic Marcinkiewicz integral operators

KW - Parabolic maximal functions

KW - Rough kernels

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Parabolic Marcinkiewicz integrals along surfaces on product domains

Abstract

Keywords

ASJC Scopus subject areas

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