The One-Third-Trick and Shift Operators

• Autorzy: Lechner R.

Identyfikatory

DOI

10.4064/ba61-3-4

• 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.

Słowa kluczowe

EN

vector valued; UMD; rearrangement of the Haar system; shift operator; one-third-trick

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: Vol. 61, no 3-4
• Strony: 219--238
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Lechner R.

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

Bibliografia

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