This article is cited in 10 papers

Embeddings of the classes $H^\omega$

M. V. Medvedeva

M. V. Lomonosov Moscow State University

Abstract: In this paper we study functions belonging to the classes $V_\varphi$ and $\Lambda BV$, which are encountered in the theory of Fourier trigonometric series. Necessary and sufficient conditions for the embedding of the classes $H^\omega$ in the classes $V_\varphi$ and $\Lambda BV$ are obtained.

UDC: 517.518.2

Received: 22.07.1997

DOI: 10.4213/mzm1447

 English version: Mathematical Notes, 1998, 64:5, 616–621

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