Rough maximal functions supported by subvarieties

Ahmad Al-Salman

Rough maximal functions supported by subvarieties

Ahmad Al-Salman^*

^*Corresponding author for this work

Mathematics

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

9 Citations (Scopus)

Abstract

In this paper, we establish the L^p boundedness of a class of maximal functions with rough kernels supported by subvarieties. Moreover, several LP estimates of singular integrals, Marcinkiewicz integrals, and parametric Marcinkiewicz integrals will be studied.

Original language	English
Pages (from-to)	263-275
Number of pages	13
Journal	Journal of Operator Theory
Volume	59
Issue number	2
Publication status	Published - Mar 2008

Keywords

Marcinkiewicz integrals
Maximal functions
Parametric Marcinkiewicz integrals
Rough kernels
Singular integrals
Square functions

ASJC Scopus subject areas

Algebra and Number Theory

Cite this

@article{5787d4c154b7428693c801d4fc79719f,

title = "Rough maximal functions supported by subvarieties",

abstract = "In this paper, we establish the Lp boundedness of a class of maximal functions with rough kernels supported by subvarieties. Moreover, several LP estimates of singular integrals, Marcinkiewicz integrals, and parametric Marcinkiewicz integrals will be studied.",

keywords = "Marcinkiewicz integrals, Maximal functions, Parametric Marcinkiewicz integrals, Rough kernels, Singular integrals, Square functions",

author = "Ahmad Al-Salman",

year = "2008",

month = mar,

language = "English",

volume = "59",

pages = "263--275",

journal = "Journal of Operator Theory",

issn = "0379-4024",

publisher = "Theta Foundation",

number = "2",

}

TY - JOUR

T1 - Rough maximal functions supported by subvarieties

AU - Al-Salman, Ahmad

PY - 2008/3

Y1 - 2008/3

N2 - In this paper, we establish the Lp boundedness of a class of maximal functions with rough kernels supported by subvarieties. Moreover, several LP estimates of singular integrals, Marcinkiewicz integrals, and parametric Marcinkiewicz integrals will be studied.

AB - In this paper, we establish the Lp boundedness of a class of maximal functions with rough kernels supported by subvarieties. Moreover, several LP estimates of singular integrals, Marcinkiewicz integrals, and parametric Marcinkiewicz integrals will be studied.

KW - Marcinkiewicz integrals

KW - Maximal functions

KW - Parametric Marcinkiewicz integrals

KW - Rough kernels

KW - Singular integrals

KW - Square functions

UR - http://www.scopus.com/inward/record.url?scp=49349084244&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=49349084244&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:49349084244

SN - 0379-4024

VL - 59

SP - 263

EP - 275

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 2

ER -

Rough maximal functions supported by subvarieties

Abstract

Keywords

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this