This article is cited in 1 paper

Methods of summability of trigonometric series and function spaces

I. N. Brui

Yanka Kupala State University of Grodno

Abstract: Conditions for a trigonometric series to be the Fourier series of a function in the spaces $C(\mathbb T)$, $L^p(\mathbb T)$ with $p\in[1,\infty]$ and $\operatorname{BMO}(\mathbb T)$, $L_\Phi^*(\mathbb T)$ are presented.

UDC: 517.518.456

MSC: 42A16, 42A24

Received: 21.05.2001

DOI: 10.4213/sm642

 English version: Sbornik: Mathematics, 2002, 193:4, 487–506

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