Two-Weight, Weak-Type Norm Inequalities for Fractional Integral Operators and Commutators on Weighted Morrey and Amalgam Spaces

Abstract EN

Let 0<γ

This paper is concerned with two-weight, weak-type norm estimates for such operators on the weighted Morrey and amalgam spaces.

Based on weak-type norm inequalities on weighted Lebesgue spaces and certain Ap-type conditions on pairs of weights, we can establish the weak-type norm inequalities for fractional integral operator Iγ as well as the corresponding commutator in the framework of weighted Morrey and amalgam spaces.

Furthermore, some estimates for the extreme case are also obtained on these weighted spaces.