This article is cited in 2 papers

Conservative Means of Orthogonal Series and the Spaces $L^p[0;1]$, $p\in (1;\infty )$

I. N. Brui

Belarusian Commercial University of Management, Baranovichi Branch

Abstract: Necessary and sufficient conditions for an orthogonal series to be the Fourier series of a function in the space $L^p[0;1]$, $p\in (1;\infty )$, are obtained. In the special case of regular summation methods we recover the classical results of Orlicz and Lomnicki.

UDC: 517.518.366

Received: 27.06.2000

DOI: 10.4213/mzm338

 English version: Mathematical Notes, 2002, 71:2, 166–176

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