Functional $L_1$-$L_p$ inequalities in the CAR algebra

Inequalities; stochastic orderings (60E15) Markov semigroups and applications to diffusion processes (47D07) Noncommutative probability and statistics (46L53)

Cites Work

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Geometric influences. II: Correlation inequalities and noise sensitivity
Poincaré type inequalities on the discrete cube and in the CAR algebra
Non commutative Khintchine and Paley inequalities
Inequalities in Fourier analysis
Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem
Riesz transforms associated with the number operator on the Walsh system and the fermions
Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities
On Russo's approximate zero-one law
An isoperimetric inequality on the discrete cube and an elementary proof of the isoperimetric inequality in Gauss space
Free hypercontractivity
Non-commutative martingale inequalities
On boundaries and influences
Boolean functions: influence, threshold and noise
Volume doubling, Poincaré inequality and Gaussian heat kernel estimate for non-negatively curved graphs
Nonlinear matrix concentration via semigroup methods
Complete logarithmic Sobolev inequalities via Ricci curvature bounded below
Concentration on the Boolean hypercube via pathwise stochastic analysis
Rademacher type and Enflo type coincide
Fisher information and logarithmic Sobolev inequality for matrix-valued functions
Noncommutative martingale deviation and Poincaré type inequalities with applications
Hypercontractivity for semigroups of unital qubit channels
Étude des coefficients de Fourier des fonctions de $L^ p(G)$
Non-commutative Nash inequalities
Martingales in Banach Spaces
Superconcentration and Related Topics
Noncommutative Riesz transforms — a probabilistic approach
Improved Lower Bounds for Embeddings into $L_1$
Logarithmic Sobolev Inequalities
A Simple Analytic Proof of an Inequality by P. Buser
Hypercontractive Measures, Talagrand’s Inequality, and Influences
Analysis and Geometry of Markov Diffusion Operators
Concentration on the Boolean hypercube via pathwise stochastic analysis
Analysis of Boolean Functions
Hypercontractivity in finite-dimensional matrix algebras
KKL, Kruskal--Katona, and Monotone Nets
Edge-Isoperimetric Inequalities and Influences
Talagrand's influence inequality revisited
Quantum Talagrand, KKL and Friedgut's theorems and the learnability of quantum Boolean functions

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Functional \(L_1\)-\(L_p\) inequalities in the CAR algebra