Analyticité séparée et prolongement analytique.
Application of the logarithmic differential to the holomorphic extension problem for -hyperfunctions.
Approximation pondérée de fonctions holomorphes dans un ouvert de
Averages of holomorphic mappings and holomorphic retractions on convex hyperbolic domains
Let D be a hyperbolic convex domain in a complex Banach space. Let the mapping F ∈ Hol(D,D) be bounded on each subset strictly inside D, and have a nonempty fixed point set ℱ in D. We consider several methods for constructing retractions onto ℱ under local assumptions of ergodic type. Furthermore, we study the asymptotic behavior of the Cesàro averages of one-parameter semigroups generated by holomorphic mappings.
Bestimmungsflächen für des Randwachstum holomorpher Funktionen auf analytischen Polyedern
Boundary functions in
We solve the Dirichlet problem for line integrals of holomorphic functions in the unit ball: For a function which is lower semi-continuous on we give necessary and sufficient conditions in order that there exists a holomorphic function such that
Boundary values of bounded holomorphic functions
Boundary values of holomorphic functions and Cauchy problem for operator in the polydisc
Bounded Analytic Functions in the Dirichlet Space.
Bounding Subsets of a Banach Space.
Caractérisations des zéros des fonctions de certaines classes de type Nevanlinna dans le bidisque
Dans cet article, nous étudions les zéros des fonctions holomorphes dans le bidisque dont le logarithme du module vérifie une condition de croissance : nous caractérisons par une condition de type Blaschke les zéros des fonctions vérifiantpour , et nous donnons les conditions suffisantes pour des classes plus petites, en particulier pour la classe de Nevanlinna du bidisque.
Cauchy-Szegö kernels for Hardy spaces on simple Lie groups.
Certain partial differential subordinations on some Reinhardt domains in
We obtain an extension of Jack-Miller-Mocanu’s Lemma for holomorphic mappings defined in some Reinhardt domains in . Using this result we consider first and second order partial differential subordinations for holomorphic mappings defined on the Reinhardt domain with p ≥ 1.
Complex tangential characterizations of Hardy-Sobolev spaces of holomorphic functions.
Let Ω be a C∞-domain in Cn. It is well known that a holomorphic function on Ω behaves twice as well in complex tangential directions (see [GS] and [Kr] for instance). It follows from well known results (see [H], [RS]) that some converse is true for any kind of regular functions when Ω satisfies(P) The real tangent space is generated by the Lie brackets of real and imaginary parts of complex tangent vectorsIn this paper we are interested in the behavior of holomorphic Hardy-Sobolev functions in...
Constructions de fonctions holomorphes bornées
Continuity of intersection of analytic sets
Der Kontinuitätssatz für reindimensionale &-affinoide Räume.
Distributional boundary values and the tempered ultra-distributions
Distributional boundary values in . III
Distributional boundary values in (IV)