Local Muckenhoupt weights on Gaussian measure spaces

被引：4

作者：

Wang, Songbai ^{[1
]}

Zhou, Haiyan ^{[1
]}

Li, Peng ^{[2
]}

机构：

[1] Hubei Normal Univ, Coll Math & Stat, Huangshi 435002, Peoples R China

[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 438卷 / 02期

关键词：

Muckenhoupt weights; Local maximal operators; Local fractional maximal operators; MAXIMAL-FUNCTION; RIESZ TRANSFORMS; OPERATORS; BMO; H-1;

D O I：

10.1016/j.jmaa.2016.02.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study an analogue of A(p), weights which are called local weights and denoted by A(p,a) in Gauss measure spaces. Some classical properties of it are obtained. Then we characterize the weights by the boundedness of local Hardy-Littlewood maximal operators on weighted Lebesgue spaces. We also get the Jones's decomposition of A(p,a), which is different from the type of Orobitg and Perez [24]. At last, we consider the class weights of A(p,q,a) and obtain the weighted boundedness of fractional maximal operator M-beta,M-alpha. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：790 / 806

页数：17

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