Geodesic
The One-Third-Trick and Shift Operators
Richard Lechner1
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.

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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 
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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. http://geodesic.mathdoc.fr/articles/10.4064/ba61-3-4/

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