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This article is cited in 1 scientific paper (total in 1 paper)
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.
DOI:
https://doi.org/10.4213/mzm338
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English version:
Mathematical Notes, 2002, 71:2, 166–176
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UDC:
517.518.366
Received: 27.06.2000
Citation:
I. N. Brui, “Conservative Means of Orthogonal Series and the Spaces $L^p[0;1]$, $p\in (1;\infty )$”, Mat. Zametki, 71:2 (2002), 182–193; Math. Notes, 71:2 (2002), 166–176
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz338https://doi.org/10.4213/mzm338 http://mi.mathnet.ru/eng/mz/v71/i2/p182
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This publication is cited in the following articles:
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V. G. Krotov, “When is an Orthogonal Series a Fourier Series?”, Math. Notes, 74:1 (2003), 132–135
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