A class of maximal functions with oscillating kernels

Ahmad Al-Salman

doi:10.1007/s10114-007-0936-6

A class of maximal functions with oscillating kernels

Ahmad Al-Salman^*

^*Corresponding author for this work

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

Abstract

The author studies the L ^p mapping properties of a class of maximal functions that are related to oscillatory singular integral operators. L ^p estimates, as well as the corresponding weighted estimates of such maximal functions, are obtained. Moreover, several applications of our results are highlighted.

Original language	English
Pages (from-to)	2003-2016
Number of pages	14
Journal	Acta Mathematica Sinica, English Series
Volume	23
Issue number	11
DOIs	https://doi.org/10.1007/s10114-007-0936-6
Publication status	Published - Nov 2007
Externally published	Yes

Keywords

Maximal functions
Morrey spaces
Oscillatory singular integrals
Parametric Marcinkiewicz integral operators
Power weights
Weighted Lp bounds

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1007/s10114-007-0936-6

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AB - The author studies the L p mapping properties of a class of maximal functions that are related to oscillatory singular integral operators. L p estimates, as well as the corresponding weighted estimates of such maximal functions, are obtained. Moreover, several applications of our results are highlighted.

KW - Maximal functions

KW - Morrey spaces

KW - Oscillatory singular integrals

KW - Parametric Marcinkiewicz integral operators

KW - Power weights

KW - Weighted Lp bounds

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JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 11

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A class of maximal functions with oscillating kernels

Abstract

Keywords

ASJC Scopus subject areas

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