TWO-WEIGHT NORM INEQUALITIES ON MORREY SPACES

被引：26

作者：

Tanaka, Hitoshi ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2015年 / 40卷 / 02期

基金：

日本学术振兴会;

关键词：

Hardy-Littlewood maximal operator; Hausdorff content; Morrey space; Muckenhoupt weight class; one and two weight norm inequality; OPERATORS; HARDY;

D O I：

10.5186/aasfm.2015.4042

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A description of all the admissible weights similar to the Muckenhoupt class A(p) is an open problem for the weighted Morrey spaces. In this paper necessary condition and sufficient condition for two-weight norm inequalities on Morrey spaces to hold are separately given for the Hardy-Littlewood maximal operator. Necessary and sufficient condition is also verified for the power weights.

引用

页码：773 / 791

页数：19

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