Geodesic
On the non-equivalence of rearranged Walsh and trigonometric systems in $L_p$
Aicke Hinrichs1 ; Jörg Wenzel2
1Mathematisches Institut FSU Jena D-07743 Jena, Germany
2Department of Mathematics and Applied Mathematics University of Pretoria Pretoria 0002, South Africa
Studia Mathematica, Tome 159 (2003) no. 3, pp. 435-451
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider the question of whether the trigonometric system can be equivalent to some rearrangement of the Walsh system in $L_p$ for some $p\not =2$. 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.
DOI : 10.4064/sm159-3-7
Keywords: consider question whether trigonometric system equivalent rearrangement walsh system question closely related combinatorial problem enables prove non equivalence number rearrangements previously known walsh paley order only

Aicke Hinrichs  1   ; Jörg Wenzel  2

1 Mathematisches Institut FSU Jena D-07743 Jena, Germany
2 Department of Mathematics and Applied Mathematics University of Pretoria Pretoria 0002, South Africa 
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Aicke Hinrichs; Jörg Wenzel. On the non-equivalence of
 rearranged Walsh and trigonometric systems in $L_p$. Studia Mathematica, Tome 159 (2003) no. 3, pp. 435-451. doi: 10.4064/sm159-3-7

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