The equivalence of hypercontractivity and logarithmic Sobolev inequality for \(q (-1 \leq q \leq 1)\) -Ornstein-Uhlenbeck semigroup
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Publication:2193015
DOI10.1007/s11401-020-0221-xOpenAlexW3044026561MaRDI QIDQ2193015
Publication date: 24 August 2020
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-020-0221-x
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Cites Work
- Gaussian hypercontractivity revisited
- An example of a generalized Brownian motion
- Non-commutative symmetric Markov semigroups
- Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form
- Dirichlet forms and Markov semigroups on \(C^*\)-algebras
- Hypercontractivity in noncommutative \(L_1\) spaces
- Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- \(q\)-Gaussian processes: Non-commutative and classical aspects
- Free hypercontractivity
- Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras
- Non-symmetric Dirichlet forms on semifinite von Neumann algebras
- The characterization of a class of quantum Markov semigroups and the associated operator-valued Dirichlet forms based on Hilbert \(W^\ast\)-module
- The free Markoff field
- Boson fields with nonlinear selfinteraction in two dimensions
- Construction of nonlinear local quantum processes. I
- Existence and uniqueness of physical ground states
- Determinant theory in finite factors
- A non-commutative extension of abstract integration
- Free Random Variables
- Applications of Uniform Convexity of Noncommutative L p -Spaces
- Logarithmic Sobolev Inequalities
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