This article is cited in 12 papers

Moduli of continuity of functions, defined on a zero-dimensional group

A. I. Rubinshtein

Moscow Wood Technology Institute

Abstract: 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 $G$.

UDC: 517.5

Received: 24.06.1976

 English version: Mathematical Notes, 1978, 23:3, 205–211

Bibliographic databases:

• 
•