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Matematicheskie Zametki, 1974, Volume 15, Issue 2, Pages 191–196 (Mi mzm7335)  
This article is cited in 3 scientific papers (total in 3 papers)

The haar system as an unconditional basis in $L_p[0, 1]$

V. F. Gaposhkin
Full-text PDF (320 kB) Citations (3)
Abstract: We give a short proof of the known Paley–Marcinkiewicz theorem: the Haar system is an unconditional basis in $L_p$ ($p>1$). The method of proof consists in a simplification for the Haar system of the method applied in R. Gundy's and other authors' papers for similar problems of the general theory of martingales.
Received: 24.04.1973
English version:
Mathematical Notes, 1974, Volume 15, Issue 2, Pages 108–111
DOI: https://doi.org/10.1007/BF02102388
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. F. Gaposhkin, “The haar system as an unconditional basis in $L_p[0, 1]$”, Mat. Zametki, 15:2 (1974), 191–196; Math. Notes, 15:2 (1974), 108–111
Citation in format AMSBIB
\Bibitem{Gap74}
\by V.~F.~Gaposhkin
\paper The haar system as an unconditional basis in $L_p[0, 1]$
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 2
\pages 191--196
\mathnet{http://mi.mathnet.ru/mzm7335}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=417676}
\zmath{https://zbmath.org/?q=an:0288.42010|0286.41017}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 2
\pages 108--111
\crossref{https://doi.org/10.1007/BF02102388}
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  • https://www.mathnet.ru/eng/mzm/v15/i2/p191
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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