$$L\log L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space

Abstract

In this paper, the main aim is to prove the weak type L log L estimates for commutators of fractional integral operators and the higher order in the context of the padic version of Lebesgue spaces, where the symbols of the commutators belong to the p-adic version of BMO space, in addition, we also establish the estimates of the sharp function on the p-adic vector space.