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^*

^*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

1 اقتباس (Scopus)

ملخص

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.

اللغة الأصلية	English
الصفحات (من إلى)	577-591
عدد الصفحات	15
دورية	Kyungpook Mathematical Journal
مستوى الصوت	63
رقم الإصدار	4
المعرِّفات الرقمية للأشياء	https://doi.org/10.5666/KMJ.2023.63.4.577
حالة النشر	Published - 2023
منشور خارجيًا	نعم

ASJC Scopus subject areas

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الوصول إلى المستند

10.5666/KMJ.2023.63.4.577

الملفات والروابط الأخرى

Link to publication in Scopus

قم بذكر هذا

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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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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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JF - Kyungpook Mathematical Journal

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