Completeness of the inner kth Reiffen pseudometric
We give an example of a Zalcman-type domain in ℂ which is complete with respect to the integrated form of the (k+1)st Reiffen pseudometric, but not complete with respect to the kth one.
Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions [Book]
Complex dynamical systems and the geometry of domains in Banach spaces [Book]
Complex geodesics of the minimal ball in
In this note we give a characterization of the complex geodesics of the minimal ball in . This answers a question posed by Jarnicki and Pflug (cf. [JP], Example 8.3.10)
Complex geometry of generalized annuli.
Complex Kergin interpolation and the Fantappiè transform.
Computing the pluricomplex Green function with two poles.
Concave domains with trivial biholomorphic invariants
It is proved that if F is a convex closed set in ℂⁿ, n ≥2, containing at most one (n-1)-dimensional complex hyperplane, then the Kobayashi metric and the Lempert function of ℂⁿ∖ F identically vanish.
Concavity Theorems.
Connectedness of the Carathéodory discs for doubly connected domains
We prove that the Carathéodory discs for doubly connected domains in the complex plane are connected.
Continuation of positive, closed currents and analytic sets.
Continuous linear extension operators on spaces of holomorphic functions on closed subgroups of a complex Lie group
We show that the restriction operator of the space of holomorphic functions on a complex Lie group to an analytic subset V has a continuous linear right inverse if it is surjective and if V is a finite branched cover over a connected closed subgroup Γ of G. Moreover, we show that if Γ and G are complex Lie groups and V ⊂ Γ × G is an analytic set such that the canonical projection is finite and proper, then has a right inverse
Continuous q-convex exhaustion functions.
Convexité holomorphe intermediaire.
Convexity in complex analysis
Correction to the paper "Distortions of a bounded domain by holomorphic mappings".
Coverings of 1-convex manifolds with 1-dimensional exceptional set.