On the non-equivalence of rearranged Walsh and trigonometric systems in Lp
Aicke Hinrichs ; Jörg Wenzel
Studia Mathematica, Tome 157 (2003), p. 435-451 / Harvested from The Polish Digital Mathematics Library
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We consider the question of whether the trigonometric system can be equivalent to some rearrangement of the Walsh system in Lp 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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:285128 
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     year = {2003},
     pages = {435-451},
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Aicke Hinrichs; Jörg Wenzel. On the non-equivalence of rearranged Walsh and trigonometric systems in $L_{p}$
            . Studia Mathematica, Tome 157 (2003) pp. 435-451. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm159-3-7/