Semi-groupes de Feller invariants sur les espaces hyperboliques
Semi-polar sets are almost negligible.
Separable -harmonic functions in a cone and related quasilinear equations on manifolds
Separately superharmonic functions in product networks
Let X×Y be the Cartesian product of two locally finite, connected networks that need not have reversible conductance. If X,Y represent random walks, it is known that if X×Y is recurrent, then X,Y are both recurrent. This fact is proved here by non-probabilistic methods, by using the properties of separately superharmonic functions. For this class of functions on the product network X×Y, the Dirichlet solution, balayage, minimum principle etc. are obtained. A unique integral representation is given...
Sequence solutions of the Dirichlet problem
Sharp borderline Sobolev inequalities on compact Riemannian manifolds.
Silov Boundaries of Spaces of Functions with Noncompact Domains.
Simplicial Cones in Potential Theory II (Approxiamtion Theorems).
Singular and Quasi-Bounded Functions Associated with the Heat Equation.
Singular behavior of conformal Martin kernels and non-tangential limits of conformal mappings.
Singular functions on metric measure spaces.
On relatively compact domains in metric measure spaces we construct singular functions that play the role of Green functions of the p-Laplacian. We give a characterization of metric spaces that support a global version of such singular function, in terms of capacity estimates at infinity of such metric spaces. In addition, when the measure of the space is locally Q-regular, we study quasiconformal invariance property associated with the existence of global singular functions.
Singular sets of separately analytic functions
We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.
Singularité et intégrabilité des fonctions plurisousharmoniques
On étudie les singularités et l’intégrabilité d’une classe de fonctions plurisousharmoniques sur une variété analytique de dimension . Pour étudier ce problème, nous commençons par contrôler les nombres de Lelong de certains types de fonctions plurisousharmoniques . Ensuite, nous étudions les singularités du transformé strict du courant par un éclatement de au dessus d’un point. Nous répondons ainsi positivement au problème d’intégrabilité locale de , lorsque , et lorsque est une fonction plurisousharmonique...
Singularités des fonctions de Green hypoelliptiques
Singularity of parabolic measures
Small sets in
Small-time asymptotic estimates in local Dirichlet spaces.
Smooth, but not Complex-Analytic Pluripolar Sets.
Smoothing Plurisubharmonic Functions on Complex Spaces.
Smoothness of Green's functions and Markov-type inequalities
Let E be a compact set in the complex plane, be the Green function of the unbounded component of with pole at infinity and where the supremum is taken over all polynomials of degree at most n, and . The paper deals with recent results concerning a connection between the smoothness of (existence, continuity, Hölder or Lipschitz continuity) and the growth of the sequence . Some additional conditions are given for special classes of sets.