Optimal Holomorphic Hypercontractivity for CAR Algebras
Bulletin of the Polish Academy of Sciences. Mathematics (2010)
- Volume: 58, Issue: 1, page 79-90
- ISSN: 0239-7269
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topIlona Królak. "Optimal Holomorphic Hypercontractivity for CAR Algebras." Bulletin of the Polish Academy of Sciences. Mathematics 58.1 (2010): 79-90. <http://eudml.org/doc/281220>.
@article{IlonaKrólak2010,
abstract = {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 $U_t$ is a contraction as a map $L₂() → L_p()$ for arbitrary p ≥ 2. We also prove a logarithmic Sobolev inequality.},
author = {Ilona Królak},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
language = {eng},
number = {1},
pages = {79-90},
title = {Optimal Holomorphic Hypercontractivity for CAR Algebras},
url = {http://eudml.org/doc/281220},
volume = {58},
year = {2010},
}
TY - JOUR
AU - Ilona Królak
TI - Optimal Holomorphic Hypercontractivity for CAR Algebras
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2010
VL - 58
IS - 1
SP - 79
EP - 90
AB - 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 $U_t$ is a contraction as a map $L₂() → L_p()$ for arbitrary p ≥ 2. We also prove a logarithmic Sobolev inequality.
LA - eng
UR - http://eudml.org/doc/281220
ER -
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