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

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