Commutators of fractional integral operators on Vanishing-Morrey spaces

摘要

In this note we prove a sufficient condition for commutators of fractional integral operators to belong to Vanishing Morrey spaces VL~(p,λ). In doing this we use an extension on Morrey spaces of an inequality by Fefferman and Stein concerning the sharp maximal function and the fractional maximal function and related Morrey inequalities.