Weighted Morrey spaces on non-homogeneous metric measure spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:452

Article

Yan, Yu¹  Chen, Jie¹  Lin, Haibo¹ 

[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China

关键词: Non-homogeneous metric measure space;    Weighted Morrey space;    Hardy-Littlewood maximal operator;    Calderon-Zygmund type operator;   

DOI  :  10.1016/j.jmaa.2017.03.023

来源: Elsevier

【 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.

【 授权许可】

Free