Schottky-Landau growth estimates for s-normal families of holomorphic mappings.
Schwarz-type lemmas for solutions of -inequalities and complete hyperbolicity of almost complex manifolds
The definition of the Kobayashi-Royden pseudo-metric for almost complex manifolds is similar to its definition for complex manifolds. We study the question of completeness of some domains for this metric. In particular, we study the completeness of the complement of submanifolds of co-dimension 1 or 2. The paper includes a discussion, with proofs, of basic facts in the theory of pseudo-holomorphic discs.
Some applications of the Bergman kernel to geometrical theory of functions
Some characterizations of Bloch functions on strongly pseudoconvex domains
Some remarks on a new pseudo-differential metric
Starrheitssätze für Produkte normierter Vektorräume endlicher Dimension und für Produkte hyperbolischer komplexer Räume.
Strange complex structures on Euclidean space.
Strengthened Moser’s conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues
The Grunsky and Teichmüller norms ϰ(f) and k(f) of a holomorphic univalent function f in a finitely connected domain D ∋ ∞ with quasiconformal extension to are related by ϰ(f) ≤ k(f). In 1985, Jürgen Moser conjectured that any univalent function in the disk Δ* = z: |z| > 1 can be approximated locally uniformly by functions with ϰ(f) < k(f). This conjecture has been recently proved by R. Kühnau and the author. In this paper, we prove that approximation is possible in a stronger sense, namely,...
Sur la caractérisation des automorphismes analytiques d'un domaine borné
Sur la caractérisation des isomorphismes analytiques entre domaines bornés d'un espace de Banach complexe
Sur les applications holomorphes isométriques pour la distance de Carathéodory
Sur les domaines hyperboliques pour la distance intégrée de Carathéodory
Dans cet article, je montre qu’un domaine est hyperbolique pour la pseudodistance intégrée de Carathéodory (c’est-à-dire que est une distance sur ) si et seulement si la pseudodistance de Carathéodory vérifie la propriété de séparation faible suivante : tout point de possède un voisinage tel que, pour tout point de , , . Je construis aussi un exemple d’un domaine -hyperbolique et non -hyperbolique.
Sur les espaces complets pour la distance de Carathéodory
An example of a finite dimensional analytic space is exhibited, for which the Carathéodory integrated distance and the Carathéodory distance, although defining the same topology, are respectively complete and incomplete.
Sur les rétractes holomorphes de dimension 1
In this Note, I study existence and unicity of holomorphic retractions on complex submanifolds of dimension 1.