Boundedness for commutators of rough p-adic fractional Hardy type operators

Abstract

In this paper, we introduce the rough p-adic Hardy type operator and obtain the boundedness for its commutator generated by the p-adic CMO function on p-adic Herz-type spaces. Moreover, we establish the λ-central BMO estimates for the commutator of the rough p-adic fractional Hardy operator on p-adic central Morrey spaces.

Keywords

• Rough p-adic fractional Hardy operator
• CMO function
• Homogeneous Herz space
• p-adic central Morrey space