Valeurs au bord pour les solutions de l’opérateur , et caractérisation des zéros des fonctions de la classe de Nevanlinna
Valiron-Titchmarsh Theorem for Subharmonic Functions in With Masses on a Half-Line
The Valiron-Titchmarsh theorem on asymptotic behavior of entire functions with negative zeros is extended to subharmonic functions in , having the Riesz masses on a ray.
Variable Sobolev capacity and the assumptions on the exponent
In a recent article the authors showed that it is possible to define a Sobolev capacity in variable exponent Sobolev space. However, this set function was shown to be a Choquet capacity only under certain assumptions on the variable exponent. In this article we relax these assumptions.
Vector Potential Theory on Nonsmooth Domains in R... and Applications to Electromagnetic Scattering.
Vector-valued holomorphic and harmonic functions
Holomorphic and harmonic functions with values in a Banach space are investigated. Following an approach given in a joint article with Nikolski [4] it is shown that for bounded functions with values in a Banach space it suffices that the composition with functionals in a separating subspace of the dual space be holomorphic to deduce holomorphy. Another result is Vitali’s convergence theorem for holomorphic functions. The main novelty in the article is to prove analogous results for harmonic functions...
Vertical variation of harmonic functions in upper half-spaces
Some results of Bourgain on the radial variation of harmonic functions in the disk are extended to the setting of harmonic functions in upper half-spaces.