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Matematicheskie Zametki, 1974, Volume 15, Issue 1, Pages 63–71 (Mi mzm7319)  

Rearrangements of the Haar system

A. S. Krantsberg

Moscow Institute of Electronic Engineering
Abstract: It is proved that any fixed rearrangement of the Haar system either is or is not a system of convergence almost everywhere simultaneously for all classes $L^p[0,1]$ ($1\le p\le\infty$).
Received: 11.12.1972
English version:
Mathematical Notes, 1974, Volume 15, Issue 1, Pages 35–39
DOI: https://doi.org/10.1007/BF01153542
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. S. Krantsberg, “Rearrangements of the Haar system”, Mat. Zametki, 15:1 (1974), 63–71; Math. Notes, 15:1 (1974), 35–39
Citation in format AMSBIB
\Bibitem{Kra74}
\by A.~S.~Krantsberg
\paper Rearrangements of the Haar system
\jour Mat. Zametki
\yr 1974
\vol 15
\issue 1
\pages 63--71
\mathnet{http://mi.mathnet.ru/mzm7319}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=336208}
\zmath{https://zbmath.org/?q=an:0309.42010|0305.42015}
\transl
\jour Math. Notes
\yr 1974
\vol 15
\issue 1
\pages 35--39
\crossref{https://doi.org/10.1007/BF01153542}
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