A Note on Marcinkiewicz Integral Operators on Product Domains

Badriya Al-Azri; Ahmad Al-Salman

doi:10.5666/KMJ.2023.63.4.577

A Note on Marcinkiewicz Integral Operators on Product Domains

Badriya Al-Azri, Ahmad Al-Salman^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

In this paper we establish the L^p boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polynomials and convex functions. This generalizes and extends previous results.

Original language	English
Pages (from-to)	577-591
Number of pages	15
Journal	Kyungpook Mathematical Journal
Volume	63
Issue number	4
DOIs	https://doi.org/10.5666/KMJ.2023.63.4.577
Publication status	Published - 2023
Externally published	Yes

Keywords

Convex functions
L estimates
Marcinkiewicz operators
Maximal functions
Product domains

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.5666/KMJ.2023.63.4.577

Cite this

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title = "A Note on Marcinkiewicz Integral Operators on Product Domains",

abstract = "In this paper we establish the Lp boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polynomials and convex functions. This generalizes and extends previous results.",

keywords = "Convex functions, L estimates, Marcinkiewicz operators, Maximal functions, Product domains",

author = "Badriya Al-Azri and Ahmad Al-Salman",

note = "Publisher Copyright: {\textcopyright} Kyungpook Mathematical Journal",

year = "2023",

doi = "10.5666/KMJ.2023.63.4.577",

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publisher = "Kyungpook National University",

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T1 - A Note on Marcinkiewicz Integral Operators on Product Domains

AU - Al-Azri, Badriya

AU - Al-Salman, Ahmad

N1 - Publisher Copyright: © Kyungpook Mathematical Journal

PY - 2023

Y1 - 2023

N2 - In this paper we establish the Lp boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polynomials and convex functions. This generalizes and extends previous results.

AB - In this paper we establish the Lp boundedness of Marcinkiewicz integral operators on product domains with rough kernels satisfying a weak size condition. We assume that our kernels are supported on surfaces generated by curves more general than polynomials and convex functions. This generalizes and extends previous results.

KW - Convex functions

KW - L estimates

KW - Marcinkiewicz operators

KW - Maximal functions

KW - Product domains

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JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

IS - 4

ER -

A Note on Marcinkiewicz Integral Operators on Product Domains

Abstract

Keywords

ASJC Scopus subject areas

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