Singular integral operators and commutators on two-weight Morrey spaces

Abstract

In this paper, we obtain the mapping properties for the Hardy–Littlewood maximal operator, Calderón–Zygmund singular integral operators, and the commutators of the singular integral operators with the $\text{BMO}$ functions on the two-weight Morrey spaces. We also get the endpoint estimates for the commutators on the two-weight Morrey spaces.