SINGULAR AND MARCINKIEWICZ INTEGRAL OPERATORS ON PRODUCT DOMAINS

Badriya Al-Azri; Ahmad Al-Salman

doi:10.4134/CKMS.c210421

SINGULAR AND 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

Abstract

In this paper, we prove L^p estimates of a class of singular integral operators on product domains along surfaces defined by mappings that are more general than polynomials and convex functions. We assume that the kernels are in L(log L)²(Sⁿ⁻¹ × S^m−1). Furthermore, we prove L^p estimates of the related class of Marcinkiewicz integral operators.

Original language	English
Pages (from-to)	401-430
Number of pages	30
Journal	Communications of the Korean Mathematical Society
Volume	38
Issue number	2
DOIs	https://doi.org/10.4134/CKMS.c210421
Publication status	Published - 2023
Externally published	Yes

Keywords

convex
Hardy Littlewood maximal function
LL estimates
Marcinkiewicz integral operators on product domains
maximal functions
Singular integral operators on product domains

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.4134/CKMS.c210421

Cite this

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abstract = "In this paper, we prove Lp estimates of a class of singular integral operators on product domains along surfaces defined by mappings that are more general than polynomials and convex functions. We assume that the kernels are in L(log L)2(Sn−1 × Sm−1). Furthermore, we prove Lp estimates of the related class of Marcinkiewicz integral operators.",

keywords = "convex, Hardy Littlewood maximal function, LL estimates, Marcinkiewicz integral operators on product domains, maximal functions, Singular integral operators on product domains",

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

note = "Publisher Copyright: {\textcopyright} 2023 Korean Mathematical Society",

year = "2023",

doi = "10.4134/CKMS.c210421",

language = "English",

volume = "38",

pages = "401--430",

journal = "Communications of the Korean Mathematical Society",

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T1 - SINGULAR AND MARCINKIEWICZ INTEGRAL OPERATORS ON PRODUCT DOMAINS

AU - Al-Azri, Badriya

AU - Al-Salman, Ahmad

PY - 2023

Y1 - 2023

N2 - In this paper, we prove Lp estimates of a class of singular integral operators on product domains along surfaces defined by mappings that are more general than polynomials and convex functions. We assume that the kernels are in L(log L)2(Sn−1 × Sm−1). Furthermore, we prove Lp estimates of the related class of Marcinkiewicz integral operators.

AB - In this paper, we prove Lp estimates of a class of singular integral operators on product domains along surfaces defined by mappings that are more general than polynomials and convex functions. We assume that the kernels are in L(log L)2(Sn−1 × Sm−1). Furthermore, we prove Lp estimates of the related class of Marcinkiewicz integral operators.

KW - convex

KW - Hardy Littlewood maximal function

KW - LL estimates

KW - Marcinkiewicz integral operators on product domains

KW - maximal functions

KW - Singular integral operators on product domains

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JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 2

ER -

SINGULAR AND MARCINKIEWICZ INTEGRAL OPERATORS ON PRODUCT DOMAINS

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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