Envelope of Dirichlet problems on a domain in
Extension of Proper Holomorphic Mappings Past the Boundary.
Fonctions holomorphes bornées sur la boule unité de Cn.
Formules explicites pour les solutions minimales de l’équation dans la boule et dans le polydisque de
Dans cet article, on construit tout d’abord un noyau de Cauchy explicite dans la boule unité de dont les valeurs au bord sont égales au noyau de Szegö. Puis, à partir de ce noyau, on construit explicitement les noyaux qui fournissent les solutions de l’équation qui sont orthogonales aux fonctions holomorphes dans les espaces , où , étant la mesure de Lebesgue et un réel . Nous donnons ensuite les principales estimations dedans et au bord que vérifient ces solutions. Dans une deuxième...
Inner Functions and Boundary Values in H... (...) and A (...) in Smoothly Bounded Pseudoconvex Domains.
Internal characteristics of domains in ℂⁿ
This paper is devoted to internal capacity characteristics of a domain D ⊂ ℂⁿ, relative to a point a ∈ D, which have their origin in the notion of the conformal radius of a simply connected plane domain relative to a point. Our main goal is to study the internal Chebyshev constants and transfinite diameters for a domain D ⊂ ℂⁿ and its boundary ∂D relative to a point a ∈ D in the spirit of the author's article [Math. USSR-Sb. 25 (1975), 350-364], where similar characteristics have been investigated...
Intrinsic Lipschitz Classes on Manifolds with Applications to Complex Function Theory and Estimates for the ... and ... Equations.
Invariant metrics and peak functions on pseudoconvex domains of homogeneous finite diagonal type.
On a boundary version of Morera's theorem.
On an Estimate of Axler and Shapiro.
On boundary behaviour of Bergman kernel function for plane domains and their Cartesian products
On horospheres and holomorphic endomorfisms of the Siegel disc
On propagation of boundary continuity of holomorphic functions of several variables
We prove that continuity properties of bounded analytic functions in bounded smoothly bounded pseudoconvex domains in two-dimensional affine space are determined by their behaviour near the Shilov boundary. Namely, if the function has continuous extension to an open subset of the boundary containing the Shilov boundary it extends continuously to the whole boundary. If it is e.g. Hölder continuous on such a boundary set, it is Hölder continuous on the closure of the domain. The statements may fail...
On the existence of bounded holomorphic functions on complete Kähler manifolds.
Peak Sets in Pseudoconvex Domains with Isolated Degeneracies.
Peak Sets in Weakly Pseudoconvex Domains.
Principe d'Oka-Grauert dans A?.
Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Properties of Peak Sets in Weakly Pseudoconvex Boundaries in C2.
Regularity of the Bergman Projection on Domains with Transverse Symmetries.