Optimal holomorphic hypercontractivity for CAR algebras

• Autorzy: Królak I.
• Języki publikacji: EN

Abstrakty

EN

We present a new proof of Janson's strong hypercontractivity inequality for the Ornstein-Uhlenbeck semigroup in holomorphic algebras associated with CAR (canonical anticommutation relations) algebras. In the one generator case we calculate optimal bounds for t such that Ut is a contraction as a map L2(H) → Lp(H) for arbitrary p ≥ 2. We also prove a logarithmic Sobolev inequality.

Słowa kluczowe

EN

hypercontractivity; Fock space; canonical anticommutation relations

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2010
• Tom: Vol. 58, no 1
• Strony: 79--90
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Królak I.

• Institute of Mathematics, Wroclaw University, PL Grunwaldzki 2/4, 50-384 Wroclaw, Poland,

Bibliografia

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