Spaces of type BLO on non-homogeneous metric measure |
| |
| Authors: | Haibo Lin Dachun Yang |
| |
| Institution: | 1. College of Science, China Agricultural University, Beijing 100083, China; 2. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex systems, Ministry of Education, Beijing 100875, China |
| |
| Abstract: | Let ( , d, μ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition.
In this paper, we introduce the space RBLO(μ) and prove that it is a subset of the known space RBMO(μ) in this context. Moreover,
we establish several useful characterizations for the space RBLO(μ). As an application, we obtain the boundedness of the maximal
Calderón-Zygmund operators from L
∞(μ) to RBLO(μ). |
| |
| Keywords: | Upper doubling geometrically doubling RBLO(μ) maximal operator Calderón-Zygmund maximal operator |
| 本文献已被 SpringerLink 等数据库收录！ |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 |
| 点击此处可从《Frontiers of Mathematics in China》下载免费的PDF全文 |
|
