On the Non-Equivalence of Rearranged Walsh and Trigonometric Systems in L_p

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We consider the question whether the trigonometric system can be equivalent to some rearrangement of the Walsh system in L_p for some p<>2. We show that this question is closely related to a combinatorial problem. This enables us to prove non-equivalence for a number of rearrangements. Previously this was known for the Walsh-Paley order only.
18 pages, to be published in Stud. Math

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Functional Analysis, 42C20 (primary) 42C10, 46B15 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/68285

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308091
 http://arxiv.org/abs/math/0308091

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arXiv