Marcinkiewicz functions with hardy space kernels

Ahmad Al-Salman

doi:10.7153/mia-2018-21-40

Marcinkiewicz functions with hardy space kernels

Ahmad Al-Salman^*

^*Corresponding author for this work

Mathematics & Statistics

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

Abstract

In this paper we prove Lp estimates of Marcinkiewicz integral operators with kernels in the Hardy space and supported on general subvarieties. The considered subvarieties are of the type that caries partially the polynomial behavior as well as the behavior of convex functions. Results obtained in this paper improve as well as generalize known results.

Original language	English
Pages (from-to)	553-567
Number of pages	15
Journal	Mathematical Inequalities and Applications
Volume	21
Issue number	2
DOIs	https://doi.org/10.7153/mia-2018-21-40
Publication status	Published - Apr 2018

Keywords

Area integral
Convex functions
Fourier transform
Hardy space
Littlewood-Paley g? ? functions
Marcinkiewicz integrals
Rough kernels

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.7153/mia-2018-21-40

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title = "Marcinkiewicz functions with hardy space kernels",

abstract = "In this paper we prove Lp estimates of Marcinkiewicz integral operators with kernels in the Hardy space and supported on general subvarieties. The considered subvarieties are of the type that caries partially the polynomial behavior as well as the behavior of convex functions. Results obtained in this paper improve as well as generalize known results.",

keywords = "Area integral, Convex functions, Fourier transform, Hardy space, Littlewood-Paley g? ? functions, Marcinkiewicz integrals, Rough kernels",

author = "Ahmad Al-Salman",

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AB - In this paper we prove Lp estimates of Marcinkiewicz integral operators with kernels in the Hardy space and supported on general subvarieties. The considered subvarieties are of the type that caries partially the polynomial behavior as well as the behavior of convex functions. Results obtained in this paper improve as well as generalize known results.

KW - Area integral

KW - Convex functions

KW - Fourier transform

KW - Hardy space

KW - Littlewood-Paley g? ? functions

KW - Marcinkiewicz integrals

KW - Rough kernels

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JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

SN - 1331-4343

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ER -

Marcinkiewicz functions with hardy space kernels

Abstract

Keywords

ASJC Scopus subject areas

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