Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 32-37
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A. G. Korolev. Imbedding theorems for anisotropic Sobolev–Orlicz spaces. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (1983), pp. 32-37. http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a8/
@article{VMUMM_1983_1_a8,
author = {A. G. Korolev},
title = {Imbedding theorems for anisotropic {Sobolev{\textendash}Orlicz} spaces},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {32--37},
year = {1983},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a8/}
}
TY - JOUR
AU - A. G. Korolev
TI - Imbedding theorems for anisotropic Sobolev–Orlicz spaces
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1983
SP - 32
EP - 37
IS - 1
UR - http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a8/
LA - ru
ID - VMUMM_1983_1_a8
ER -
%0 Journal Article
%A A. G. Korolev
%T Imbedding theorems for anisotropic Sobolev–Orlicz spaces
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1983
%P 32-37
%N 1
%U http://geodesic.mathdoc.fr/item/VMUMM_1983_1_a8/
%G ru
%F VMUMM_1983_1_a8
We generalize the Sobolev imbedding theorems to the case of anisotropic Sobolev–Orlich spaces $\mathring{W}^1_{(B)}(\Omega)$. In the case of imbedding of the latter space into the space of all continuous functions we derive an estimate of the continuity module for $u(x)\in\mathring{W}^1_{(B)}(\Omega)$.
