SHARP MAXIMAL FUNCTION INEQUALITIES AND BOUNDEDNESS OF TOEPLITZ TYPE OPERATOR RELATED TO GENERAL FRACTIONAL INTEGRAL OPERATORS

被引：1

作者：

Liu, Lanzhe ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2013年 / 7卷 / 01期

关键词：

Toeplitz type operator; sharp maximal function; Morrey space; BMO; Lipschitz function; MORREY SPACES; COMMUTATORS; EQUATIONS;

D O I：

10.15352/bjma/1358864555

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish sharp maximal function inequalities for the Toeplitz type operator related to some general fractional integral operators. As an application, we obtain the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces. The operators include Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator.

引用

页码：142 / 159

页数：18

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