10 p.On the framework of the 2-adic group Z_2, we study a Sobolev-like inequality where we estimate the L^2 norm by a geometric mean of the BV norm and the Besov space B(-1,\infty,\infty) norm. We first show, using the special topological properties of the p-adic groups, that the set of functions of bounded variations BV can be identified to the Besov space B(1,\infty,1). This identification lead us to the construction of a counterexample to the improved Sobolev inequality
The goal of this paper is to extend Poincaré-Wirtinger inequalities from Sobolev spaces to spaces of...
This thesis studies the generalization of improved Gagliardo Nirenberg inequalities on stratified Li...
In this paper we derive some Sobolev inequalities for radially symmetric functions in ˙H s with 1 2 ...
17 pagesWe study in this article the Improved Sobolev inequalities with Muckenhoupt weights within t...
6 pagesMotivated by a recent result which identifies in the special setting of the $2$-adic group th...
AbstractWe study in this article the improved Sobolev inequalities with Muckenhoupt weights within t...
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. Genera...
In this paper we prove a refined version of the Sobolev inequality on the Heisenberg group, extendin...
We introduce the class of bounded variation (BV) functions in a general framework of strictly local ...
Sambale H, Sinulis A. Modified log-Sobolev inequalities and two-level concentration. ALEA: Latin Ame...
International audienceBy considering a suitable Besov type norm, we obtain refined Sobolev inequalit...
Dans cette thèse nous traitons une notion d'espace de Sobolev W^{1,p} qui a eté introduite par Bourg...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
AbstractWe give a new proof of the following inequality. In any dimensionn≥2 and for 1<p<nlets=(n+p)...
The L 1-Sobolev inequality states that the L n/(n−1)-norm of a compactly supported function on Eucli...
The goal of this paper is to extend Poincaré-Wirtinger inequalities from Sobolev spaces to spaces of...
This thesis studies the generalization of improved Gagliardo Nirenberg inequalities on stratified Li...
In this paper we derive some Sobolev inequalities for radially symmetric functions in ˙H s with 1 2 ...
17 pagesWe study in this article the Improved Sobolev inequalities with Muckenhoupt weights within t...
6 pagesMotivated by a recent result which identifies in the special setting of the $2$-adic group th...
AbstractWe study in this article the improved Sobolev inequalities with Muckenhoupt weights within t...
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. Genera...
In this paper we prove a refined version of the Sobolev inequality on the Heisenberg group, extendin...
We introduce the class of bounded variation (BV) functions in a general framework of strictly local ...
Sambale H, Sinulis A. Modified log-Sobolev inequalities and two-level concentration. ALEA: Latin Ame...
International audienceBy considering a suitable Besov type norm, we obtain refined Sobolev inequalit...
Dans cette thèse nous traitons une notion d'espace de Sobolev W^{1,p} qui a eté introduite par Bourg...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
AbstractWe give a new proof of the following inequality. In any dimensionn≥2 and for 1<p<nlets=(n+p)...
The L 1-Sobolev inequality states that the L n/(n−1)-norm of a compactly supported function on Eucli...
The goal of this paper is to extend Poincaré-Wirtinger inequalities from Sobolev spaces to spaces of...
This thesis studies the generalization of improved Gagliardo Nirenberg inequalities on stratified Li...
In this paper we derive some Sobolev inequalities for radially symmetric functions in ˙H s with 1 2 ...