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

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

2003-08-10

arxiv.org/abs/math/0308091v1

Mathematics

Functional Analysis

18 pages, to be published in Stud. Math

Scientific paper

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.

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