Biholomorphic mappings between bounded domains in Cn.
Biholomorphic Mappings Between Certain Real Analytic Domains in C2.
Biholomorphic maps determined on the boundary
Let be a bounded domain in such that the boundary is topologically in with a regular point; let be a holomorphic map where is a neighborhood of . If is one-to-one when restricted to , then is biholomorphic.
Boundary Analyticity of Proper Holomorphic Maps of Domains with Non-Analytic Boundaries.
Boundary Behavior of Meromorphic Maps.
Boundary Behavior of Proper Holomorphic Correspondences.
Boundary Interpolation and Proper Holomorphic Maps from the Disc to the Ball.
Boundary Interpolation by Proper Holomorphic Maps.
Boundary Regularity of Proper Holomorphic Mappings.
B-regularity of certain domains in ℂⁿ
We study the B-regularity of some classes of domains in ℂⁿ. The results include a complete characterization of B-regularity in the class of Reinhardt domains, we also give some sufficient conditions for Hartogs domains to be B-regular. The last result yields sufficient conditions for preservation of B-regularity under holomorphic mappings.
Calcul du nombre de cusps dans la déformation semi-universelle d'une singularité isolée d'hypersurface complexe
Caractérisation de isomorphismes analytiques sur la boule-unité de Cn pour une norme.
Cartan-Chern-Moser theory on algebraic hypersurfaces and an application to the study of automorphism groups of algebraic domains
For a strongly pseudoconvex domain defined by a real polynomial of degree , we prove that the Lie group can be identified with a constructible Nash algebraic smooth variety in the CR structure bundle of , and that the sum of its Betti numbers is bounded by a certain constant depending only on and . In case is simply connected, we further give an explicit but quite rough bound in terms of the dimension and the degree of the defining polynomial. Our approach is to adapt the Cartan-Chern-Moser...
Certain partial differential subordinations on some Reinhardt domains in
We obtain an extension of Jack-Miller-Mocanu’s Lemma for holomorphic mappings defined in some Reinhardt domains in . Using this result we consider first and second order partial differential subordinations for holomorphic mappings defined on the Reinhardt domain with p ≥ 1.
Classes de Nevanlinna sur une intersection d'ouverts strictement pseudoconvexes.
On a finite intersection of strictly pseudoconvex domains we define two kinds of natural Nevanlinna classes in order to take the growth of the functions near the sides or the edges into account. We give a sufficient Blaschke type condition on an analytic set for being the zero set of a function in a given Nevanlinna class. On the other hand we show that the usual Blaschke condition is not necessary here.
Classification of Isolated Hypersurface Singularities by Their Moduli Algebras.
Common Fixed Points of Commuting Holomorphic Maps.
Commuting holomorphic maps in strongly convex domains
Compact Varieties of Surjective Holomorphic Endomorphisms.
Compact Varieties of Surjective Holomorphic Mappings.