Extremal plurisubharmonic functions and invariant pseudodistances
Extremal plurisubharmonic functions in
Familles d'opérateurs potentiels
Ce travail se compose de trois parties. Dans la première partie nous donnons quelques résultats sur les noyaux-mesure de Hunt sur . Nous caractérisons à ce propos les transformées de Laplace des fonctions logarithmiquement convexes et dé-crois-san-tes sur . Dans la deuxième partie, nous démontrons que, si est un noyau-mesure de Hunt sur et si est un semi-groupe à contraction dans un espace de Banach tel que son générateur infinitésimal soit d’image dense, alors l’opérateur défini au...
Flows of heat and the Fourier problem
Generalized condensers and conformal properties of riemannian manifolds with at least two ends
Generalized Robin problem in potential theory
Gradient potential estimates
Pointwise gradient bounds via Riesz potentials like those available for the Poisson equation actually hold for general quasilinear equations.
Greenian Potentials and Concavity.
Growth properties of spherical means for monotone BLD functions in the unit ball.
Harmonic functions on convex sets and single layer potentials
Hessian measures. II.
Hölder continuity of normalized solutions of the Schrödínger equation.
Inequalities for Poisson integrals with slowly growing dimensional constants.
Instability phenomena for the moment problem
Invariance of essential spectra for generalized Schrödinger operators.
L...-estimates for Green potentials in Lipschitz domains.
Liouville type theorems for mappings with bounded (co)-distortion
We obtain Liouville type theorems for mappings with bounded -distorsion between Riemannian manifolds. Besides these mappings, we introduce and study a new class, which we call mappings with bounded -codistorsion.
Measures charging no polar sets and additive functional of Brownian motion.
Musielak-Orlicz-Sobolev spaces on metric measure spaces
Our aim in this paper is to study Musielak-Orlicz-Sobolev spaces on metric measure spaces. We consider a Hajłasz-type condition and a Newtonian condition. We prove that Lipschitz continuous functions are dense, as well as other basic properties. We study the relationship between these spaces, and discuss the Lebesgue point theorem in these spaces. We also deal with the boundedness of the Hardy-Littlewood maximal operator on Musielak-Orlicz spaces. As an application of the boundedness of the Hardy-Littlewood...
Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces
We define and study Musielak-Orlicz-Sobolev spaces with zero boundary values on any metric space endowed with a Borel regular measure. We extend many classical results, including completeness, lattice properties and removable sets, to Musielak-Orlicz-Sobolev spaces on metric measure spaces. We give sufficient conditions which guarantee that a Sobolev function can be approximated by Lipschitz continuous functions vanishing outside an open set. These conditions are based on Hardy type inequalities....