A proof of a logarithmic Sobolev inequality
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Publication:1315036
DOI10.1007/BF01191295zbMath0796.49013MaRDI QIDQ1315036
Giorgio Talenti, Elena Pelliccia
Publication date: 7 March 1994
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Variational inequalities (49J40) Geometric measure and integration theory, integral and normal currents in optimization (49Q15)
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The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions, Optimality problems in Orlicz spaces, Isoperimetric inequalities for the first Neumann eigenvalue in Gauss space, Optimal Sobolev embeddings for the Ornstein-Uhlenbeck operator, Sobolev embedding into BMO and weak-\(L^\infty\) for \(1\)-dimensional probability measure, Sharp exponential inequalities for the Ornstein-Uhlenbeck operator, Higher-order Sobolev embeddings and isoperimetric inequalities, Optimal Gaussian Sobolev embeddings, Moser inequalities in Gauss space
Cites Work
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- Extremals of functionals with competing symmetries
- Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities
- On logarithmic Sobolev constant for diffusion semigroups
- Two-point inequalities, the Hermite semigroup, and the Gauss-Weierstrass semigroup
- Lower bounds for eigenvalues of regular Sturm-Liouville operators and the logarithmic Sobolev inequality
- Logarithmic Sobolev inequalities and hypercontractive estimates on the circle
- Hypercontractivity for the heat semigroup for ultraspherical polynomials and on the n-sphere
- Inégalités isopérimétriques et intégrales de Dirichlet gaussiennes
- An Example in the Theory of Hypercontractive Semigroups
- A Generalized Poincare Inequality for Gaussian Measures
- Gross's Logarithmic Sobolev Inequality: A Simple Proof
- Logarithmic Sobolev Inequalities
