Sharp Estimates for $p$-Adic Hardy, Hardy-Littlewood-Pólya Operators and Commutators

Zunwei Fu, Qingyan Wu, Shanzhen Lu

In this paper we get the sharp estimates of the $p$-adic Hardy and Hardy-Littlewood-Pólya operators on $L^q(|x{|}_p^{\alpha }dx)$. Also, we prove that the commutators generated by the $p$-ad…