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, $p\ne2$.

UDC: 517.512

Received: 20.11.1995
Revised: 26.06.1999

DOI: 10.4213/mzm1010

 English version: Mathematical Notes, 2000, 68:6, 737–739

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