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Matematicheskie Zametki, 2002, Volume 71, Issue 2, Pages 182–193
DOI: https://doi.org/10.4213/mzm338 (Mi mzm338) 		 
This article is cited in 2 scientific papers (total 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
Full-text PDF (259 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm338
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.
Received: 27.06.2000
English version:
Mathematical Notes, 2002, Volume 71, Issue 2, Pages 166–176
DOI: https://doi.org/10.1023/A:1013951012900
Bibliographic databases:
UDC: 517.518.366
Language: Russian
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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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