MARCINKIEWICZ FUNCTIONS WITH HARDY SPACE KERNELS

被引：3

作者：

Al-Salman, Ahmad ^{[1
,2
]}

机构：

[1] Sultan Qaboos Univ, Dept Math & Stat, POB 36,Al Khod 123, Muscat, Oman

[2] Yarmouk Univ, Dept Math, Irbid, Jordan

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2018年 / 21卷 / 02期

关键词：

Marcinkiewicz integrals; rough kernels; Hardy space; convex functions; Fourier transform; area integral; Littlewood-Paley g(lambda)* functions; SINGULAR INTEGRAL-OPERATORS; ROUGH KERNELS;

D O I：

10.7153/mia-2018-21-40

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove L-p estimates of Marcinkiewicz integral operators with kernels in the Hardy space and supported on general subvarieties. The considered subvarieties are of the type that caries partially the polynomial behavior as well as the behavior of convex functions. Results obtained in this paper improve as well as generalize known results.

引用

页码：553 / 567

页数：15

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