Geodesic
On the non-equivalence of rearranged Walsh and trigonometric systems in $L_p$
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
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

Voir la notice de l'article

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 
@article{10_4064_sm159_3_7,
     author = {Aicke Hinrichs and J\"org Wenzel},
     title = {On the non-equivalence of
 rearranged {Walsh} and trigonometric systems in $L_p$},
     journal = {Studia Mathematica},
     pages = {435--451},
     year = {2003},
     volume = {159},
     number = {3},
     doi = {10.4064/sm159-3-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm159-3-7/}
}
TY  - JOUR
AU  - Aicke Hinrichs
AU  - Jörg Wenzel
TI  - On the non-equivalence of
 rearranged Walsh and trigonometric systems in $L_p$
JO  - Studia Mathematica
PY  - 2003
SP  - 435
EP  - 451
VL  - 159
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm159-3-7/
DO  - 10.4064/sm159-3-7
LA  - en
ID  - 10_4064_sm159_3_7
ER  - 
%0 Journal Article
%A Aicke Hinrichs
%A Jörg Wenzel
%T On the non-equivalence of
 rearranged Walsh and trigonometric systems in $L_p$
%J Studia Mathematica
%D 2003
%P 435-451
%V 159
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm159-3-7/
%R 10.4064/sm159-3-7
%G en
%F 10_4064_sm159_3_7
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

Cité par Sources :