On the Lp boundedness of rough parametric Marcinkiewicz functions

Ahmad Al-Salman; Hussain Al-Qassem

On the L^p boundedness of rough parametric Marcinkiewicz functions

Ahmad Al-Salman^*, Hussain Al-Qassem

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

4 اقتباسات (Scopus)

ملخص

In this paper, we study the L^p boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in L(log ⁺ L)(S^n-1). Our result in this paper solves an open problem left by the authors of ([6]).

اللغة الأصلية	English
رقم المقال	108
دورية	Journal of Inequalities in Pure and Applied Mathematics
مستوى الصوت	8
رقم الإصدار	4
حالة النشر	Published - 2007

ASJC Scopus subject areas

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الملفات والروابط الأخرى

قم بذكر هذا

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title = "On the Lp boundedness of rough parametric Marcinkiewicz functions",

abstract = "In this paper, we study the Lp boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in L(log + L)(Sn-1). Our result in this paper solves an open problem left by the authors of ([6]).",

keywords = "Fourier transforms, Parametric Marcinkiewicz operators, Parametric maximal functions, Rough kernels",

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

year = "2007",

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journal = "Journal of Inequalities in Pure and Applied Mathematics",

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T1 - On the Lp boundedness of rough parametric Marcinkiewicz functions

AU - Al-Salman, Ahmad

AU - Al-Qassem, Hussain

PY - 2007

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AB - In this paper, we study the Lp boundedness of a class of parametric Marcinkiewicz integral operators with rough kernels in L(log + L)(Sn-1). Our result in this paper solves an open problem left by the authors of ([6]).

KW - Fourier transforms

KW - Parametric Marcinkiewicz operators

KW - Parametric maximal functions

KW - Rough kernels

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JO - Journal of Inequalities in Pure and Applied Mathematics

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