Calderón–Zygmund operators and their commutators on generalized weighted Orlicz–Morrey spaces

Abstract

In this paper, we obtain the necessary and sufficient conditions for the weak/strong boundedness of the Calderón–Zygmund operators in generalized weighted Orlicz–Morrey spaces. We also study the boundedness of the commutators of Calderón–Zygmund operators on these spaces. Moreover, the boundedness of Calderón–Zygmund operators in the vector-valued setting is given.

Keywords

• Generalized weighted Orlicz–Morrey space
• Calderón–Zygmund operators
• commutator
• vector-valued inequalities