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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
Citation:
A. S. Krantsberg, “Rearrangements of the Haar system”, Mat. Zametki, 15:1 (1974), 63–71; Math. Notes, 15:1 (1974), 35–39
Linking options:
https://www.mathnet.ru/eng/mzm7319 https://www.mathnet.ru/eng/mzm/v15/i1/p63
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Statistics & downloads: |
Abstract page: | 165 | Full-text PDF : | 68 | First page: | 1 |
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