Endpoint boundedness for commutators of singular integral operators on weighted generalized Morrey spaces

Abstract

Abstract In this paper, we obtain the endpoint boundedness for the commutators of singular integral operators with BMO functions and the associated maximal operators on weighted generalized Morrey spaces. We also get similar results for the commutators of fractional integral operators with BMO functions and the associated maximal operators.

Keywords

• Singular integral operator
• Fractional integral operator
• Commutator
• Maximal operator
• Weighted generalized Morrey space