Integral operators of marcinkiewicz type

Ahmad Al-Salman; Hussain Al-Qassem

doi:10.1216/jiea/1181074927

Integral operators of marcinkiewicz type

Ahmad Al-Salman^*, Hussain Al-Qassem

^*Corresponding author for this work

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

16 Citations (Scopus)

Abstract

In this paper we study integral operators of Marcinkiewicz type. We formulate a general method which allows us to obtain the L^p boundedness of several classes of integral operators of Marcinkiewicz type. Our results extend as well as improve previously known results on Marcinkiewicz integral operators.

Original language	English
Pages (from-to)	343-354
Number of pages	12
Journal	Journal of Integral Equations and Applications
Volume	14
Issue number	4
DOIs	https://doi.org/10.1216/jiea/1181074927
Publication status	Published - 2002
Externally published	Yes

Keywords

Fourier transform
Marcinkiewicz integral operators
Maximal functions
Real-analytic submanifolds
Rough kernels.
Submanifolds of finite type
Surfaces of revolution

ASJC Scopus subject areas

Numerical Analysis
Applied Mathematics

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10.1216/jiea/1181074927

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title = "Integral operators of marcinkiewicz type",

abstract = "In this paper we study integral operators of Marcinkiewicz type. We formulate a general method which allows us to obtain the Lp boundedness of several classes of integral operators of Marcinkiewicz type. Our results extend as well as improve previously known results on Marcinkiewicz integral operators.",

keywords = "Fourier transform, Marcinkiewicz integral operators, Maximal functions, Real-analytic submanifolds, Rough kernels., Submanifolds of finite type, Surfaces of revolution",

author = "Ahmad Al-Salman and Hussain Al-Qassem",

year = "2002",

doi = "10.1216/jiea/1181074927",

language = "English",

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pages = "343--354",

journal = "Journal of Integral Equations and Applications",

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T1 - Integral operators of marcinkiewicz type

AU - Al-Salman, Ahmad

AU - Al-Qassem, Hussain

PY - 2002

Y1 - 2002

N2 - In this paper we study integral operators of Marcinkiewicz type. We formulate a general method which allows us to obtain the Lp boundedness of several classes of integral operators of Marcinkiewicz type. Our results extend as well as improve previously known results on Marcinkiewicz integral operators.

AB - In this paper we study integral operators of Marcinkiewicz type. We formulate a general method which allows us to obtain the Lp boundedness of several classes of integral operators of Marcinkiewicz type. Our results extend as well as improve previously known results on Marcinkiewicz integral operators.

KW - Fourier transform

KW - Marcinkiewicz integral operators

KW - Maximal functions

KW - Real-analytic submanifolds

KW - Rough kernels.

KW - Submanifolds of finite type

KW - Surfaces of revolution

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EP - 354

JO - Journal of Integral Equations and Applications

JF - Journal of Integral Equations and Applications

IS - 4

ER -

Integral operators of marcinkiewicz type

Abstract

Keywords

ASJC Scopus subject areas

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