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 1 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

Access to Document

10.7153/mia-2018-21-40

Fingerprint Dive into the research topics of 'Marcinkiewicz functions with hardy space kernels'. Together they form a unique fingerprint.

Cite this

@article{5eb37452bbfe49139859d8f2e99a3072,

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",

year = "2018",

month = apr,

day = "1",

doi = "10.7153/mia-2018-21-40",

language = "English",

volume = "21",

pages = "553--567",

journal = "Mathematical Inequalities and Applications",

issn = "1331-4343",

publisher = "Element d.o.o.",

number = "2",

}

TY - JOUR

T1 - Marcinkiewicz functions with hardy space kernels

AU - Al-Salman, Ahmad

PY - 2018/4/1

Y1 - 2018/4/1

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=85044002261&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85044002261&partnerID=8YFLogxK

U2 - 10.7153/mia-2018-21-40

DO - 10.7153/mia-2018-21-40

M3 - Article

AN - SCOPUS:85044002261

VL - 21

SP - 553

EP - 567

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

SN - 1331-4343

IS - 2

ER -