Sharp estimates of p-adic hardy and Hardy-Littlewood-Pólya operators

Authors
Fu, Zun Wei Wu, Qing Yan Lu, Shan Zhen
Citation
Fu, Zun Wei et al., Sharp estimates of p-adic hardy and Hardy-Littlewood-Pólya operators, Acta mathematica Sinica. English series (Print) , 29(1), 2013, pp. 137-150
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
1
Year of publication
2013
Pages
137 - 150
Database
ACNP
SICI code
Abstract
In this paper we get the sharp estimates of the p-adic Hardy and Hardy-Littlewood-Pólya operators on L q(|x| .p dx). 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 L q(|x| .p dx), more generally, on Herz spaces.