Strict fine maxima.
Strict Potentials and Hunt Processes.
Strong -weights and scaling invariant Besov capacities.
Strong uniqueness for certain infinite dimensional Dirichlet operators and applications to stochastic quantization
Strutture subriemanniane in alcuni problemi di Analisi
Vengono presentati alcuni problemi, idee e tecniche sorte nell'ambito della teoria delle equazioni alle derivate parziali del secondo ordine, con forma caratteristica semidefinita positiva e con soggiacenti strutture sub-riemanniane. Se ne traccia lo sviluppo a partire dalla classica teoria delle funzioni armoniche e caloriche, attraverso la teoria del potenziale negli spazi armonici astratti e la teoria della regolarità locale delle soluzioni.
Subharmonic functions in sub-Riemannian settings
In this paper we furnish mean value characterizations for subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution . These characterizations are based on suitable average operators on the level sets of . Asymptotic characterizations are also considered, extending classical results of Blaschke, Privaloff, Radó, Beckenbach, Reade and Saks. We analyze as well the notion of subharmonic function...
Subharmonic Functions on Real and Complex Manifolds.
Suites définies négatives et espaces de Dirichlet sur la sphère
Sul problema pluriarmonico in un campo sferico di per
Let be the boundary of the unit ball of . A set of second order linear partial differential operators, tangential to , is explicitly given in such a way that, for , the corresponding PDE caractherize the trace of the solution of the pluriharmonic problem (either “in the large” or “local”), relative to .
Sums of Continuous Plurisubharmonic Functions and the Complex Monge-Ampère Operator in ....n.
Superharmonic functions and differential equations involving measures for quasilinear elliptic operators with lower order terms.
Sur la convergence radiale des potentiels associés à l'équation de Helmholtz
Sur la représentation des formes de Dirichlet
On montre qu’une forme de Dirichlet est décomposable de manière unique en deux formes intégrales et une forme locale. On indique l’expression de cette partie locale dans un cas régulier.
Sur la représentation par les lois de sortie.
Sur la structure des courants positifs fermés
Sur la théorie du potentiel dans les domaines de John.
Using rather elementary and direct methods, we first recover and add on some results of Aikawa-Hirata-Lundh about the Martin boundary of a John domain. In particular we answer a question raised by these authors. Some applications are given and the case of more general second order elliptic operators is also investigated. In the last parts of the paper two potential theoretic results are shown in the framework of uniform domains or the framework of hyperbolic manifolds.
Sur la théorie du potentiel pour les processus de Markov récurrents
Nous caractérisons les opérateurs potentiels des processus de Markov récurrents sur un espace compact, au moyen du principe semi-complet du maximum.
Sur la théorie fine du potentiel
Sur les ensembles pluripolaires complets
Sur les fonctions propres positives des variétés de Cartan-Hadamard.