Add to ORKGInternational audienceWe present a new logarithmic Sobolev inequality adapted to a log-concave measure on $\dR$ between the exponential and the Gaussian measure
AbstractWe prove an optimal logarithmic Sobolev inequality in W1,p(Rd). Explicit minimizers are give...
AbstractSharp constants in exponential inequalities involving a general class of measures in domains...
We present a short proof of Klartag’s central limit theorem for convex bodies, using only the most ...
AbstractIn this paper, we give an optimal logarithmic Sobolev inequality on Rn with Lipschitz consta...
AbstractWe present a general criteria to prove that a probability measure satisfies a logarithmic So...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
AbstractWe prove an isoperimetric inequality for the uniform measure on a uniformly convex body and ...
AbstractIn this paper, we obtain a reinforcement of an inequality due to Brascamp and Lieb and a rei...
The continuum $\varphi^4_2$ and $\varphi^4_3$ measures are shown to satisfy a log-Sobolev inequality...
AbstractThis paper is mainly devoted to estimate the logarithmic Sobolev (abbrev. L.S.) constant for...
We prove an isoperimetric inequality for probability measures $\mu$ on $\mathbb{R}^n$ with density p...
AbstractIn this paper we study quadratic transportation cost inequalities. To this end we introduce ...
The nonlinear Schr\"odinger equation $\NLSE(p, \beta)$, $-iu_t=-u_{xx}+\beta \vert u\vert^{p-2} u=0$...
AbstractFollowing the equivalence between logarithmic Sobolev inequalities and hypercontractivity sh...
AbstractWe apply the method of [J. Demange, From porous media equation to generalized Sobolev inequa...
AbstractWe prove an optimal logarithmic Sobolev inequality in W1,p(Rd). Explicit minimizers are give...
AbstractSharp constants in exponential inequalities involving a general class of measures in domains...
We present a short proof of Klartag’s central limit theorem for convex bodies, using only the most ...
AbstractIn this paper, we give an optimal logarithmic Sobolev inequality on Rn with Lipschitz consta...
AbstractWe present a general criteria to prove that a probability measure satisfies a logarithmic So...
AbstractIn this paper, we find optimal constants of a special class of Gagliardo–Nirenberg type ineq...
AbstractWe prove an isoperimetric inequality for the uniform measure on a uniformly convex body and ...
AbstractIn this paper, we obtain a reinforcement of an inequality due to Brascamp and Lieb and a rei...
The continuum $\varphi^4_2$ and $\varphi^4_3$ measures are shown to satisfy a log-Sobolev inequality...
AbstractThis paper is mainly devoted to estimate the logarithmic Sobolev (abbrev. L.S.) constant for...
We prove an isoperimetric inequality for probability measures $\mu$ on $\mathbb{R}^n$ with density p...
AbstractIn this paper we study quadratic transportation cost inequalities. To this end we introduce ...
The nonlinear Schr\"odinger equation $\NLSE(p, \beta)$, $-iu_t=-u_{xx}+\beta \vert u\vert^{p-2} u=0$...
AbstractFollowing the equivalence between logarithmic Sobolev inequalities and hypercontractivity sh...
AbstractWe apply the method of [J. Demange, From porous media equation to generalized Sobolev inequa...
AbstractWe prove an optimal logarithmic Sobolev inequality in W1,p(Rd). Explicit minimizers are give...
AbstractSharp constants in exponential inequalities involving a general class of measures in domains...
We present a short proof of Klartag’s central limit theorem for convex bodies, using only the most ...