Sharp estimates for m-linear p-adic Hardy and Hardy-Littlewood-Pólya operators on p-adic central Morrey spaces

Abstract

In this paper, we consider the mapping property of both m -linear p -adic Hardy operator H p m and Hardy-Littlewood-Pólya operators T p m on p -adic central Morrey-type spaces. The obtained bounds turn to be sharp when λ 1 p 1 = ••• = λ m p m .