Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces

Abstract

In the present paper, we shall give necessary and sufficient conditions for the boundedness of anisotropic fractional maximal commutator Mb,αd on anisotropic local Morrey-type spaces, when b belongs to BMO spaces, by which some new characterizations for BMO spaces is obtained. As an application of this results we consider the boundedness of commutators of anisotropic fractional maximal operator [b, Mαd] on anisotropic global Morrey-type spaces. © 2020, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.