Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space
From MaRDI portal
Publication:4993987
DOI10.1017/S0013091520000383zbMath1476.46067OpenAlexW3112876145MaRDI QIDQ4993987
Publication date: 11 June 2021
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091520000383
Noncommutative probability and statistics (46L53) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
Cites Work
- Unnamed Item
- A noncommutative martingale convexity inequality
- An example of a generalized Brownian motion
- Free Markov processes and stochastic differential equations in von Neumann algebras
- 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
- Free hypercontractivity
- Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras
- Riesz transforms on deformed Fock spaces
- Wick product for commutation relations connected with Yang-Baxter operators and new constructions of factors
- The characterization of a class of quantum Markov semigroups and the associated operator-valued Dirichlet forms based on Hilbert \(C^*\)-module \(l_{2}(A)\)
- Hypercontractivity for a quantum Ornstein-Uhlenbeck semigroup
- Free Ornstein--Uhlenbeck processes
- Contractivity properties of Ornstein-Uhlenbeck semigroup for general commutation relations
- Determinant theory in finite factors
- Hypercontractivity for free products
- Optimal Holomorphic Hypercontractivity for CAR Algebras
- Applications of Uniform Convexity of Noncommutative L p -Spaces
- Logarithmic Sobolev Inequalities
- Hypercontractivity of heat semigroups on free quantum groups
This page was built for publication: Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space
