In this note, we prove global weighted Sobolev inequalities on non-compact CD(0, N) spaces satisfying a suitable growth condition, extending to possibly non-smooth and non-Riemannian structures a previous result from [V. Minerbe, G.A.F.A. 18 (2009) 1696–1749] stated for Riemannian manifolds with non-negative Ricci curvature. We use this result in the context of RCD(0, N) spaces to get a uniform bound of the corresponding weighted heat kernel via a weighted Nash inequality
We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-up techniq...
We show that the Lᴾ boundedness, p > 2, of the Riesz transform on a complete non-compact Riemannian...
Abstract. We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-...
The aim of this thesis is to present new results in the analysis of metric measure spaces. We first ...
We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with...
In this paper we study certain weighted Sobolev spaces defined on an open subset Ω of R^n (not neces...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
The weighted Poincaxe inequalities in weighted Sobolev spaces axe discussed, and the necessary and s...
Nash or Sobolev inequalities are known to be equivalent to ultracontractive prop-erties of Markov se...
Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov sem...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a s...
In this paper we prove a weighted Sobolev inequality in a bounded domain Ω ⊂ R^n, n ≥ 1, of a homoge...
We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-up techniq...
We show that the Lᴾ boundedness, p > 2, of the Riesz transform on a complete non-compact Riemannian...
Abstract. We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-...
The aim of this thesis is to present new results in the analysis of metric measure spaces. We first ...
We provide a family of global weighted Sobolev inequalities and Hardy inequalities on PI spaces with...
In this paper we study certain weighted Sobolev spaces defined on an open subset Ω of R^n (not neces...
AbstractThis paper studies Sobolev type inequalities on Riemannian manifolds. We show that on a comp...
The weighted Poincaxe inequalities in weighted Sobolev spaces axe discussed, and the necessary and s...
Nash or Sobolev inequalities are known to be equivalent to ultracontractive prop-erties of Markov se...
Nash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov sem...
Sobolev inequalities, named after Sergei Lvovich Sobolev, relate norms in Sobolev spaces and give in...
Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like...
For metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we prove a s...
In this paper we prove a weighted Sobolev inequality in a bounded domain Ω ⊂ R^n, n ≥ 1, of a homoge...
We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-up techniq...
We show that the Lᴾ boundedness, p > 2, of the Riesz transform on a complete non-compact Riemannian...
Abstract. We prove sharp inequalities in weighted Sobolev spaces. Our approach is based on the blow-...