Borderline Weighted Estimates for Commutators of Fractional Integrals

Abstract

Let I α, b be the multilinear commutators of the fractional integrals I α with the symbolWe show that the constant of borderline weighted estimates for I α is 1 ε , and for I α, b is 1 ε k+1 with each b i belongs to the Orlicz space Osc exp L s i .