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On Rearrangements of the Haar System in $L_p$
D. Z. Marshan Abkhazian State University
Abstract:
In this paper we study operators rearranging the Haar system in each bundle. It is proved that the norm of any nonidentical rearrangement admits a nontrivial lower bound in $L_p$ spaces, $p\ne2$.
Received: 20.11.1995 Revised: 26.06.1999
Citation:
D. Z. Marshan, “On Rearrangements of the Haar System in $L_p$”, Mat. Zametki, 68:6 (2000), 870–873; Math. Notes, 68:6 (2000), 737–739
Linking options:
https://www.mathnet.ru/eng/mzm1010https://doi.org/10.4213/mzm1010 https://www.mathnet.ru/eng/mzm/v68/i6/p870
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Abstract page: | 269 | Full-text PDF : | 184 | References: | 57 | First page: | 1 |
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