Propriété restreinte de valeur moyenne caractérisant les fonctions harmoniques bornées sur un ouvert (selon D. Heath et S. Orey)
Quasiconformal and harmonic mappings between smooth Jordan domains.
Quasi-nearly subharmonicity and separately quasi-nearly subharmonic functions.
Random walks on groups and monoids with a Markovian harmonic measure.
Regularity of some nonlinear quantities on superharmonic functions in local Herz-type Hardy spaces.
In this paper, the authors introduce a kind of local Hardy spaces in Rn associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on R2. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.
Removable sets for Hölder continuous -harmonic functions on metric measure spaces.
Restricted mean value property in axiomatic potential theory
Rigidity of Certain Harmonic Mappings.
Sequence solutions of the Dirichlet problem
Singular and Quasi-Bounded Functions Associated with the Heat Equation.
Some properties of α-harmonic measure
The α-harmonic measure is the hitting distribution of symmetric α-stable processes upon exiting an open set in ℝⁿ (0 < α < 2, n ≥ 2). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove some geometric estimates for α-harmonic measure.
Some uses of subharmonicity in functional analysis
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.
Sur la convergence radiale des potentiels associés à l'équation de Helmholtz
Sur la théorie fine du potentiel
Sur l'harmonicité des fonctions séparément harmoniques
Surfaces of minimum capacity for a knot
The Bergman projection on harmonic functions