AbstractFrom the Meyer–Bakry inequality, we deduce two inequalities: one is an extension of the Gagliardo–Nirenberg inequality for multiplication of Sobolev functions, the other extends an inequality due to Maz'ya for composition of nonnegative Sobolev functions
summary:We prove that the generalized Trudinger inequality for Orlicz-Sobolev spaces embedded into m...
International audienceLet $\Gamma$ be a graph endowed with a reversible Markov kernel $p$, and $P$ t...
We show that, under very general definitions of a kinetic energy operator T, the Lieb–Thirring inequ...
AbstractFrom the Meyer–Bakry inequality, we deduce two inequalities: one is an extension of the Gagl...
AbstractThis paper is concerned with estimates for the constant in the logarithmic Sobolev inequalit...
AbstractLet μ be a nondegenerate Gaussian measure on a Hilbert space H. For an arbitrary selfadjoint...
AbstractWe give a condition which ensures that if one inequality of Sobolev–Poincaré type is valid t...
AbstractWe prove several Lp-uniqueness results for Schrödinger operators −L+V by means of the Feynma...
We extend some classical Sobolev-type inequalities for linear and non-linear commutators
summary:Pointwise interpolation inequalities, in particular, \left\vert\nabla_ku(x)\right\vert\leq c...
AbstractIn this note we consider the classical Sobolev inequality ∥▽ϑ∥2 ⩾ S ∥ϑ∥2∗, ∀ϑ∈D01,2, where S...
We show a symmetric Markov diffusion semigroup with generator $L$ satisfies a weighted contractivity...
We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities s...
AbstractA reduction theorem is established, showing that any Sobolev inequality, involving arbitrary...
In the first part of this thesis, we follow Varopoulos's perspective to establish the noncommutaive ...
summary:We prove that the generalized Trudinger inequality for Orlicz-Sobolev spaces embedded into m...
International audienceLet $\Gamma$ be a graph endowed with a reversible Markov kernel $p$, and $P$ t...
We show that, under very general definitions of a kinetic energy operator T, the Lieb–Thirring inequ...
AbstractFrom the Meyer–Bakry inequality, we deduce two inequalities: one is an extension of the Gagl...
AbstractThis paper is concerned with estimates for the constant in the logarithmic Sobolev inequalit...
AbstractLet μ be a nondegenerate Gaussian measure on a Hilbert space H. For an arbitrary selfadjoint...
AbstractWe give a condition which ensures that if one inequality of Sobolev–Poincaré type is valid t...
AbstractWe prove several Lp-uniqueness results for Schrödinger operators −L+V by means of the Feynma...
We extend some classical Sobolev-type inequalities for linear and non-linear commutators
summary:Pointwise interpolation inequalities, in particular, \left\vert\nabla_ku(x)\right\vert\leq c...
AbstractIn this note we consider the classical Sobolev inequality ∥▽ϑ∥2 ⩾ S ∥ϑ∥2∗, ∀ϑ∈D01,2, where S...
We show a symmetric Markov diffusion semigroup with generator $L$ satisfies a weighted contractivity...
We propose a new Borell-Brascamp-Lieb inequality which leads to novel sharp Euclidean inequalities s...
AbstractA reduction theorem is established, showing that any Sobolev inequality, involving arbitrary...
In the first part of this thesis, we follow Varopoulos's perspective to establish the noncommutaive ...
summary:We prove that the generalized Trudinger inequality for Orlicz-Sobolev spaces embedded into m...
International audienceLet $\Gamma$ be a graph endowed with a reversible Markov kernel $p$, and $P$ t...
We show that, under very general definitions of a kinetic energy operator T, the Lieb–Thirring inequ...
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