| Sharp Estimates of p-Adic Hardy and Hardy-Littlewood-Pólya Operators |
| |
| 基金项目： | Supported by National Natural Science Foundation of China(Grant Nos.10901076,10931001,11126203and11171345);Natural Science Foundation of Shandong Province(Grant No.ZR2010AL006) |
| |
| 摘 要： | In this paper we get the sharp estimates of the p-adic Hardy and Hardy-Littlewood-Pólya operators on Lq(|x|αpdx). Also, we prove that the commutators generated by the p-adic Hardy operators(Hardy-Littlewood-Pólya operators) and the central BMO functions are bounded on Lq(|x|αpdx), more generally, on Herz spaces.
|
| 关 键 词： | p-Adic Hardy operator p-Adic Hardy–Littlewood–Pólya operator central BMO function Herz space |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
