Rough fractional integral and its multilinear commutators on p-adic generalized Morrey spaces

Abstract

In this paper, we establish the boundedness of rough $ p $-adic fractional integral operators on $ p $-adic generalized Morrey spaces, as well as the boundedness of multilinear commutators generated by rough $ p $-adic fractional integral operator and $ p $-adic generalized Campanato functions. Moreover, the boundedness in classical Morrey is given as corollaries.

Keywords

• rough $ p $-adic fractional integral
• multilinear commutator
• $ p $-adic generalized morrey spaces
• $ p $-adic generalized campanato function