Geometry of the Complex Homogeneous Monge-Ampère Equation.
Grunsky coefficient inequalities, Caratheodory metric and extremal quasiconformal mappings.
Higher asymptotics of the complex Monge-Ampère equation
Holomorphic isometries of Cartan domains of type one
Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.
Holomorphic mapping of annuli in and the associated extremal function
Holomorphic semigroups of holomorphic isometries
A previous paper was devoted to the construction of non-trivial holomorphic families of holomorphic isometries for the Carathéodory metric of a bounded domain in a complex Banach space, fixing a point in the domain. The present article shows that such a family cannot exist if it contains a strongly continuous one parameter semigroup.
Horospheres and Iterates of Holomorphic Maps.
Hyperbolicity properties of quotient surfaces by freely operating arithmetic lattices
Let be a bounded symmetric domain in and an irreducible arithmetic lattice which operates freely on . We prove that the cusp–compactification of is hyperbolic.
Inclusion operators in Bergman spaces on bounded symmetric domains in
Increasing Sequences of Complex Manifolds.
Inégalités de Markov tangentielles locales sur les courbes algébriques singulières de ℝⁿ
We prove that every singular algebraic curve in ℝⁿ admits local tangential Markov inequalities at each of its points. More precisely, we show that the Markov exponent at a point of a real algebraic curve A is less than or equal to twice the multiplicity of the smallest complex algebraic curve containing A.
Injective hyperbolicity of domains
The pseudometric of Hahn is identical to the Kobayashi-Royden pseudometric on domains of dimension greater than two. Thus injective hyperbolicity coincides with ordinary hyperbolicity in this case.
Inner -th Carathéodory-Reiffen completeness of Reinhardt domains
A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner -th Carathéodory-Reiffen distance, is given.
Interpolation Gevrey dans les domaines de type fini de C2.
Intrinsic measures complex manifolds
Intrinsic metrics in complete circular domains.
Invariant distances and invariant differential metrics in locally convex spaces
Invariant distances and metrics in complex analysis-revisited [Book]
Invariant Forms on Complex Manifolds with Application to Holomorphic Mappings.