Geodesic
The One-Third-Trick and Shift Operators
Richard Lechner 1
1 Institute of Analysis Johannes Kepler University Linz Altenbergerstrasse 69 A-4040 Linz, Austria
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 3, pp. 219-238 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We obtain a representation as martingale transform operators for the rearrangement and shift operators introduced by T. Figiel. The martingale transforms and the underlying sigma algebras are obtained explicitly by combinatorial means. The known norm estimates for those operators are a direct consequence of our representation.
DOI : 10.4064/ba61-3-4
Keywords: obtain representation martingale transform operators rearrangement shift operators introduced nbsp figiel martingale transforms underlying sigma algebras obtained explicitly combinatorial means known norm estimates those operators direct consequence representation

Richard Lechner  1

1 Institute of Analysis Johannes Kepler University Linz Altenbergerstrasse 69 A-4040 Linz, Austria 
@article{10_4064_ba61_3_4,
     author = {Richard Lechner},
     title = {The {One-Third-Trick} and {Shift} {Operators}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {219--238},
     year = {2013},
     volume = {61},
     number = {3},
     doi = {10.4064/ba61-3-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba61-3-4/}
}
TY  - JOUR
AU  - Richard Lechner
TI  - The One-Third-Trick and Shift Operators
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2013
SP  - 219
EP  - 238
VL  - 61
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba61-3-4/
DO  - 10.4064/ba61-3-4
LA  - en
ID  - 10_4064_ba61_3_4
ER  - 
%0 Journal Article
%A Richard Lechner
%T The One-Third-Trick and Shift Operators
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2013
%P 219-238
%V 61
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ba61-3-4/
%R 10.4064/ba61-3-4
%G en
%F 10_4064_ba61_3_4
Richard Lechner. The One-Third-Trick and Shift Operators. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 3, pp. 219-238. doi: 10.4064/ba61-3-4

Cité par Sources :