-approximation of generalized biaxially symmetric potentials over Carathéodory domains
Laplace transform representations and Paley-Wiener theorems for functions on vertical strips.
Layer potentials C*-algebras of domains with conical points
To a domain with conical points Ω, we associate a natural C*-algebra that is motivated by the study of boundary value problems on Ω, especially using the method of layer potentials. In two dimensions, we allow Ω to be a domain with ramified cracks. We construct an explicit groupoid associated to ∂Ω and use the theory of pseudodifferential operators on groupoids and its representations to obtain our layer potentials C*-algebra. We study its structure, compute the associated K-groups, and prove Fredholm...
Le noyau de Bergman en dimension 2
Limites de quotients de fonctions harmoniques et espaces de Hardy associés à une marche aléatoire sur un groupe abélien
Liouville theorem for Dunkl polyharmonic functions.
Lipschitz conditions on the modulus of a harmonic function.
Local admissible convergence of harmonic functions on non-homogeneous trees
We prove admissible convergence to the boundary of functions that are harmonic on a subset of a non-homogeneous tree equipped with a transition operator that satisfies uniform bounds suitable for transience. The approach is based on a discrete Green formula, suitable estimates for the Green and Poisson kernel and an analogue of the Lusin area function.
Lösung des Dirichlet Problems bei Jordangebieten mit analytischem Rand durch Interpolation.
Lp estimates of boundary integral equations for some nonlinear boundary value problems.