Intégrales singulières holomorphes
Intermediate holomorphy
Interpolation by holomorphic functions in the unit ball with polynomial growth
Interpolation de fonctions analytiques bornées
Interpolation d'opérateurs entre espaces de fonctions holomorphes
Let be a compact subset of an hyperconvex open set , forming with D a Runge pair and such that the extremal p.s.h. function ω(·,K,D) is continuous. Let H(D) and H(K) be the spaces of holomorphic functions respectively on D and K equipped with their usual topologies. The main result of this paper contains as a particular case the following statement: if T is a continuous linear map of H(K) into H(K) whose restriction to H(D) is continuous into H(D), then the restriction of T to is a continuous...
Interpolation on plane sets in C2
Introduction
Introduction à la géométrie hyperbolique
Introduction a l'holomorphie en dimension infinie
Le minimum de deux fonctions plurisousharmoniques et une nouvelle caracterisation des fonctions holomorphes
We prove, among other results, that is plurisubharmonic (psh) when belong to a family of functions in where is the -Lipchitz functional space with Then we establish a new characterization of holomorphic functions defined on open sets of
Lempert theorem for strongly linearly convex domains
In 1984 L. Lempert showed that the Lempert function and the Carathéodory distance coincide on non-planar bounded strongly linearly convex domains with real-analytic boundaries. Following his paper, we present a slightly modified and more detailed version of the proof. Moreover, the Lempert Theorem is proved for non-planar bounded strongly linearly convex domains.
Line antiderivations over local fields and their applications.
Linearly invariant families of holomorphic functions in the unit polydisc
In this paper we extend the definition of the linearly invariant family and the definition of the universal linearly invariant family to higher dimensional case. We characterize these classes and give some of their properties. We also give a relationship of these families with the Bloch space.
Local uniform linear convexity with respect to the Kobayashi distance.
Maximum modulus in a bidisc of analytic functions of bounded -index and an analogue of Hayman’s theorem
We generalize some criteria of boundedness of -index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of th partial derivative by lower order partial derivatives (analogue of Hayman’s theorem).
Mean value theorems for harmonic and holomorphic functions on bounded symmetric domains.
Mesure de Mahler et calcul de constantes universelles pour les polynomes de N variables.
Minimal Characteristic Exponent of the Gauss-Manin Connection of Isolated Singular Point and Newton Polyhedron.
Minimal equations, global reducibility of holomorphic functions, and relative rationality of analytic sets
Mixed norm space of pluriharmonic functions