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
Pages
10
From page
132
To page
141
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
Serial Year
2017
Full Text URL
Record number
2611544
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