Weighted Morrey spaces on non-homogeneous metric measure spaces

被引：15
|
作者：
Yan, Yu [1 ]
Chen, Jie [1 ]
Lin, Haibo [1 ]
机构：
[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 452卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Non-homogeneous metric measure space; Weighted Morrey space; Hardy-Littlewood maximal operator; Calderon-Zygmund type operator;
D O I：
10.1016/j.jmaa.2017.03.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let (chi, d, mu) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this setting, the authors introduce the weighted Morrey space and the weighted weak Morrey space, and show several properties of these spaces. As applications, some weighted weak type estimates for the Hardy-Littlewood maximal operator and the Calderon-Zygmund type operator are established. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：335 / 350
页数：16
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