A generalization of Pick's theorem and its applications to intrinsic metrics
A Generalization of Schwarz Lemma.
A Schwarz lemma on complex ellipsoids
We give a Schwarz lemma on complex ellipsoids.
A sharp form of Nevanlinna's second main theorem of several complex variables.
A uniqueness theorem of Cartan-Gutzmer type for holomorphic mappings in ℂⁿ
We continue our previous work on a problem of Janiec connected with a uniqueness theorem, of Cartan-Gutzmer type, for holomorphic mappings in ℂⁿ. To solve this problem we apply properties of (j;k)-symmetrical functions.
An Approximate Riemann Mapping Theorem in Cn.
An expansion theorem for nonanalytic functions in several complex variables.
An inclusion operator in Hardy spaces on the unit ball in
Analytic classes on subframe and expanded disk and the s differential operator in polydisk.
Analytic Set-Valued Functions and Spectra.
Application des techniques à la théorie des idéaux d’une algèbre de fonctions holomorphes avec poids
Approximation by transcendental polynomials
Approximation par des fonctions holomorphes à croissance contrôlée.
Let Ω be a bounded pseudo-convex domain in Cn with a C∞ boundary, and let S be the set of strictly pseudo-convex points of ∂Ω. In this paper, we study the asymptotic behaviour of holomorphic functions along normals arising from points of S. We extend results obtained by M. Ortel and W. Schneider in the unit disc and those of A. Iordan and Y. Dupain in the unit ball of Cn. We establish the existence of holomorphic functions of given growth having a "prescribed behaviour" in almost all normals arising...
Approximation Theory on Totally Real Submanifolds.
Associated weights and spaces of holomorphic functions
When treating spaces of holomorphic functions with growth conditions, one is led to introduce associated weights. In our main theorem we characterize, in terms of the sequence of associated weights, several properties of weighted (LB)-spaces of holomorphic functions on an open subset which play an important role in the projective description problem. A number of relevant examples are provided, and a “new projective description problem” is posed. The proof of our main result can also serve to characterize...
Bloch functions in several complex variables. II.
Boundary Properties of Holomorphic Functions in the Ball of Cn.
Boundary value problems for generalized analytic functions of several complex variables
Boundary values of bounded holomorphic functions
Bounded projections and decompositions in spaces of holomorphic functions