This article is cited in 2 papers

Embeddings of classes of continuous functions in classes of functions of bounded generalized variation

M. V. Medvedeva

M. V. Lomonosov Moscow State University

Abstract: This paper is an investigation of necessary and sufficient conditions for embeddings of the function classes $H^\omega$ in classes of functions of bounded generalized variation. Theorems of a general character are obtained, along with embedding theorems under certain additional conditions imposed on the modulus of continuity.

UDC: 517.518.2

MSC: 46E35, 26A45

Received: 22.11.2001

DOI: 10.4213/sm669

 English version: Sbornik: Mathematics, 2002, 193:7, 1049–1070

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