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math.CV2014
Positivity and completeness of invariant metrics
Taeyong Ahn, Hervé Gaussier, Kang-Tae Kim
We present a method for constructing global holomorphic peak functions from local holomorphic support functions for broad classes of unbounded domains. As an application, we establ…
math.DS2014
Brody curves in complicated sets
Taeyong Ahn
We prove the existence of a leaf, which is injective Brody in , in the foliation of the boundary of the set of non-escaping points for certain Hénon mappings.
math.DS2014
Generalized Hénon mappings and foliation by injective Brody curves
Taeyong Ahn
We consider a finite composition of generalized Hénon mappings and its Green function …
math.CV2014
Bergman and Caratheodory metrics of the Kohn-Nirenberg domains
Taeyong Ahn, Herve Gaussier, Kang-Tae Kim
The Kohn-Nireberg domains are unbounded domains in the complex Euclidean space of dimension 2 upon which many outstanding questions are yet to be explored. The primary aim of this…