The One-Third-Trick and Shift Operators
Richard Lechner
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013), p. 219-238 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:286479 
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     title = {The One-Third-Trick and Shift Operators},
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     year = {2013},
     pages = {219-238},
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     language = {en},
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Richard Lechner. The One-Third-Trick and Shift Operators. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) pp. 219-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba61-3-4/