On embeddings of grand grand SobolevMorrey spaces with dominant mixed derivatives
A. M. Najafov, R. F. Babayev
In this paper it is constructed a new grand grand SobolevMorrey
$S_{p),\varkappa ),a,\alpha }^{l}W(G)$ spaces with dominant mixed derivatives.
With help integral representation of generalized mixed derivatives of functions, defined on
$n$dimensional domains satisfying flexible horn condition, an embedding
theorem is proved. In other works, the embedding theorem is proved in these
spaces and belonging of the generalized mixed derivatives of functions from
these spaces to the Holder class, was studied.
Tbilisi Mathematical Journal, Vol. 13(1) (2020), pp. 110
