A Note on Rough Parametric Marcinkiewicz Functions

被引：2
|
作者：
Hawawsheh, Laith [1 ]
Al-Salman, Ahmad [2 ]
Momani, Shaher [3 ,4 ]
机构：
[1] German Jordanian Univ, Sch Basic Sci & Humanities, Amman, Jordan
[2] Sultan Qaboos Univ, Dept Math, POB 36, Muscat 123, Oman
[3] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan
[4] Ajman Univ, Coll Humanities & Sci, Dept Math & Sci, Ajman, U Arab Emirates
来源：
ANALYSIS IN THEORY AND APPLICATIONS | 2020年 / 36卷 / 01期
关键词：
Marcinkiewicz integrals; parametric Marcinkiewicz functions; rough kernels; Fourier transform; Marcinkiewicz interpolation theorem;
D O I：
10.4208/ata.OA-2017-0074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we obtain sharp L-p estimates of parametric Marcinkiewicz integral operators. Our result resolves a long standing open problem. Also, we present a class of parametric Marcinkiewicz integral operators that are bounded provided that their kernels belong to the sole space L-1(Sn-1).
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页码：52 / 59
页数：8
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