Title of article :
On properties of functions from Sobolev-Morrey type spaces with dominant mixed derivatives
Author/Authors :
Najafov, Alik M. Azerbaijan University of Architecture and Construction, Baku, Azerbaijan , Rustamova, Nilufer R. Institute of Mathematics and Mechanics, Baku, Azerbaijan
Abstract :
In this paper it is constructed a new Sobolev-Morrey type spaces with dominant mixed derivatives. Utilizing integral representation of generalized derivatives of functions defined on n-dimensional
domains satisfying flexible ϕ-horn condition an embedding theorem is proved. Also, it is proved that the
generalized derivatives of functions from this spaces satisfies the generalized Holder condition.
Keywords :
Sobolev-Morrey type spaces with dominant mixed derivatives , integral representation , embedding theorem , generalized Holder condition
Journal title :
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
