Calderon-Zygmund operators and their commutators on generalized weighted Orlicz-Morrey spaces

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

Automated summary

This paper investigates the boundedness of Calderon-Zygmund operators and their commutators in generalized weighted Orlicz-Morrey spaces, as well as the boundedness in the vector-valued setting.