Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems.
Existence of solutions for a family of polyharmonic and biharmonic equations.
Extensions of operators and the Dirichlet problem in potential theory
Extremal length of vector measures.
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...
Fatou theorems and maximal functions for eigenfunctions of the Laplace-Beltrami operator in a bidisk.
Finding the conductors in circular networks from boundary measurements
Flatness of Domains and Doubling Properties of Measures Supported on their Boundary, with Applications to Harmonic Measure.
Flows of heat and the Fourier problem
Fonctions biharmoniques adjointes
The study of the equation (L₂L₁)*h = 0 or of the equivalent system L*₂h₂ = -h₁, L*₁h₁ = 0, where is a second order elliptic differential operator, leads us to the following general framework: Starting from a biharmonic space, for example the space of solutions (u₁,u₂) of the system L₁u₁ = -u₂, L₂u₂ = 0, being elliptic or parabolic, and by means of its Green pairs, we construct the associated adjoint biharmonic space which is in duality with the initial one.
Fonctions harmoniques d'ordre infini et l'harmonicité réelle liée à l'opérateur laplacien itéré
Fonctions harmoniques et spectre singulier
Fourier coefficients and growth of harmonic functions.
Fourier Transform Restriction Phenomena for Certain Lattice Subsets and Applications to Nonlinear Evolution Equations, Part I: Schrödinger Equations.
Fractional integration on Hardy spaces
Fractional integro-differentiation in harmonic mixed norm spaces on a half-space
In this paper some embedding theorems related to fractional integration and differentiation in harmonic mixed norm spaces on the half-space are established. We prove that mixed norm is equivalent to a “fractional derivative norm” and that harmonic conjugation is bounded in for the range , . As an application of the above, we give a characterization of by means of an integral representation with the use of Besov spaces.
Fredholm radius of a potential theoretic operator for convex sets
Free boundary regularity for harmonic measures and Poisson kernels.