Estimates for p-adic fractional integral operator and its commutators on p-adic Morrey–Herz spaces

Abstract

Abstract This research investigates the boundedness of a p-adic fractional integral operator on p-adic Morrey–Herz spaces. In particular, p-adic central bounded mean oscillations ( C M ˙ O ) $(C\dot{M}O)$ and Lipschitz estimate for commutators of the p-adic fractional integral operator are provided as well.

Keywords

• p-adic C M ˙ O $C\dot{M}O$ estimates
• p-adic fractional integral operator
• p-adic Lipschitz estimates
• p-adic Morrey–Herz space