Holomorphic and Meromorphic Mappings and Curvature.
Holomorphic and Meromorphic Mappings and Curvature. II.
Holomorphic equivalence and proper mapping of bounded Reinhardt domains not containing the origin.
Holomorphic extension from the sphere to the ball in Hilbert space
Holomorphic Fibrations of Bounded Domains.
Holomorphic mapping of annuli in and the associated extremal function
Holomorphic Mappings from the Ball and Polydisc.
Holomorphic Maps of Compact Riemann Surfaces Into 2-Dimensional Compact C-Hyperbolic Manifolds.
Horospheres and Iterates of Holomorphic Maps.
How to prove Fefferman's theorem without use of differential geometry
Image of analytic hypersurfaces. II.
Intrinsic measures complex manifolds
Intrinsic pseudo-volume forms for logarithmic pairs
We study an adaptation to the logarithmic case of the Kobayashi-Eisenman pseudo-volume form, or rather an adaptation of its variant defined by Claire Voisin, for which she replaces holomorphic maps by holomorphic -correspondences. We define an intrinsic logarithmic pseudo-volume form for every pair consisting of a complex manifold and a normal crossing Weil divisor on , the positive part of which is reduced. We then prove that is generically non-degenerate when is projective and ...
k-convexity in several complex variables
We define and investigate the notion of k-convexity in the sense of Mejia-Minda for domains in ℂⁿ and also that of k-convex mappings on the Euclidean unit ball.
La dimension de la frontière d'un ensemble analytique dans son saturé par une application
Soit une application analytique propre entre des ouverts de , soit un sous-ensemble analytique de et soit . On donne des conditions pour que soit de codimension 1 dans .
Le dual de l'espace des fonctions holomorphes intégrables dans des domaines de Siegel
Nous répondons à une conjecture de R. Coifman et R. Rochberg : dans le complexifié du cône sphérique de , le dual de la classe de Bergman s’obtient comme projection de Bergman de et coïncide avec la classe de Bloch des fonctions holomorphes. Nous examinons également le cas d’un produit de domaines.
Le principe de reflexion en des points de faible pseudo convexité, pour des applications holomorphes propres.
Maps from the Two-Ball to the Three-Ball.
Maximal and area integral characterizations of Hardy-Soboley spaces in the unit ball of Cn.
In this paper we deal with several characterizations of the Hardy-Sobolev spaces in the unit ball of Cn, that is, spaces of holomorphic functions in the ball whose derivatives up to a certain order belong to the classical Hardy spaces. Some of our characterizations are in terms of maximal functions, area functions or Littlewood-Paley functions involving only complex-tangential derivatives. A special case of our results is a characterization of Hp itself involving only complex-tangential derivatives....
Meromorphic Mappings onto Compact Complex Spaces of General Type.