Title of article :
Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces
Author/Authors :
Akbulut, Ali Ahi Evran University - Department of Mathematics, Kirsehir, Turke , Burenkov, Victor I. S.M. Nikolskii Institute of Mathematics at RUDN University, Moscow, Russi , Guliyev, Vagif S. Institute of Applied Mathematics - Baku State University, Baku, Azerbaija
Abstract :
In the present paper, we shall give necessary and sufficient conditions for the boundedness
of anisotropic fractional maximal commutator Md b,α 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, Md α] on anisotropic global Morrey-type spaces.
Keywords :
Anisotropic local and global Morrey-type spaces , anisotropic fractional maximal function , commutator , BMO
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
