Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 379-393
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B. L. Fain. Imbedding theorems for spaces of functions with partial derivatives that are summable in various powers. Matematičeskie zametki, Tome 18 (1975) no. 3, pp. 379-393. http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a6/
@article{MZM_1975_18_3_a6,
author = {B. L. Fain},
title = {Imbedding theorems for spaces of functions with partial derivatives that are summable in various powers},
journal = {Matemati\v{c}eskie zametki},
pages = {379--393},
year = {1975},
volume = {18},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a6/}
}
TY - JOUR
AU - B. L. Fain
TI - Imbedding theorems for spaces of functions with partial derivatives that are summable in various powers
JO - Matematičeskie zametki
PY - 1975
SP - 379
EP - 393
VL - 18
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a6/
LA - ru
ID - MZM_1975_18_3_a6
ER -
%0 Journal Article
%A B. L. Fain
%T Imbedding theorems for spaces of functions with partial derivatives that are summable in various powers
%J Matematičeskie zametki
%D 1975
%P 379-393
%V 18
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1975_18_3_a6/
%G ru
%F MZM_1975_18_3_a6
We consider the anisotropic spaces $W_{\bar p}^{\bar l}(\Omega)$, $\bar l=(l_1,l_2,\dots,l_n)$, $l_i>0$, $\bar p=(p_1,p_2,\dots$, $1, $i=1,2,\dots n$. We extend the class of domains for which imbedding theorems for these spaces have the same form as for $E_n$. We investigate complete continuity of the corresponding imbedding operators.
