Matematičeskie zametki, Tome 9 (1971) no. 6, pp. 639-650
Citer cet article
E. A. Rozenfel'd. Conditions for the imbedding of the function class $W_f^1(G,\,A)$ in the space $C(G)$. Matematičeskie zametki, Tome 9 (1971) no. 6, pp. 639-650. http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a3/
@article{MZM_1971_9_6_a3,
author = {E. A. Rozenfel'd},
title = {Conditions for the imbedding of the function class $W_f^1(G,\,A)$ in the space $C(G)$},
journal = {Matemati\v{c}eskie zametki},
pages = {639--650},
year = {1971},
volume = {9},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a3/}
}
TY - JOUR
AU - E. A. Rozenfel'd
TI - Conditions for the imbedding of the function class $W_f^1(G,\,A)$ in the space $C(G)$
JO - Matematičeskie zametki
PY - 1971
SP - 639
EP - 650
VL - 9
IS - 6
UR - http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a3/
LA - ru
ID - MZM_1971_9_6_a3
ER -
%0 Journal Article
%A E. A. Rozenfel'd
%T Conditions for the imbedding of the function class $W_f^1(G,\,A)$ in the space $C(G)$
%J Matematičeskie zametki
%D 1971
%P 639-650
%V 9
%N 6
%U http://geodesic.mathdoc.fr/item/MZM_1971_9_6_a3/
%G ru
%F MZM_1971_9_6_a3
The function class $W_f^1(G,A)$ is defined. A general problem concerning necessary and sufficient conditions under which this class can be imbedded in the space $C(G)$ of functions continuous on $G$ is posed, and the special case of this problem in which the function $f(x_1,x_2,\dots,x_n)$, involved in the definition of $W_f^1(G,A)$ on $|x|=\sqrt{x_1^2+x_2^2+\dots+x_n^2}$ is solved.
