Compactness of commutators in Morrey spaces

Abstract

The goal of this paper is to refine the known Morrey-compactness result of commutators generated by \(\textrm{VMO}\) functions and singular integral operators using closed subspaces of Morrey spaces. It turns out that such commutators map Morrey spaces into a different layer; specifically, compact commutators map Morrey spaces to their tilde-closed subspaces.