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On Rearrangements of the Haar System in L p
Authors:D Z Marshan
Institution:(1) Abkhaz State University, Russia
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, 
$$p \ne {\text{2}}$$
.
Keywords:Haar system  rearrangement of the Haar system  L p space  Banach space  measure preserving bijection
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