Matematičeskie zametki, Tome 23 (1978) no. 3, pp. 379-388
Citer cet article
A. I. Rubinshtein. Moduli of continuity of functions, defined on a zero-dimensional group. Matematičeskie zametki, Tome 23 (1978) no. 3, pp. 379-388. http://geodesic.mathdoc.fr/item/MZM_1978_23_3_a5/
@article{MZM_1978_23_3_a5,
author = {A. I. Rubinshtein},
title = {Moduli of continuity of functions, defined on a~zero-dimensional group},
journal = {Matemati\v{c}eskie zametki},
pages = {379--388},
year = {1978},
volume = {23},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_3_a5/}
}
TY - JOUR
AU - A. I. Rubinshtein
TI - Moduli of continuity of functions, defined on a zero-dimensional group
JO - Matematičeskie zametki
PY - 1978
SP - 379
EP - 388
VL - 23
IS - 3
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_3_a5/
LA - ru
ID - MZM_1978_23_3_a5
ER -
%0 Journal Article
%A A. I. Rubinshtein
%T Moduli of continuity of functions, defined on a zero-dimensional group
%J Matematičeskie zametki
%D 1978
%P 379-388
%V 23
%N 3
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_3_a5/
%G ru
%F MZM_1978_23_3_a5
It is shown that the condition $\omega\equiv \{\omega_n\}_0^\infty\searrow0$ is a criterion of modulus of continuity in the spaces $C(G)$, $L(G)$, and $L_2(G)$ of functions defined on a zero-dimensional compact Abelian group $G$.
