The One-Third-Trick and Shift Operators

• Autorzy: Richard Lechner
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E40: Spaces of vector- and operator-valued functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: 61
• Numer: 3
• Strony: 219-238

Daty

wydano

2013

Twórcy

autor

Richard Lechner

• Institute of Analysis, Johannes Kepler University Linz, Altenbergerstrasse 69, A-4040 Linz, Austria

Identyfikatory

DOI

10.4064/ba61-3-4