4 papers
The pluricomplex Poisson kernel for convex finite type domains
Leandro Arosio, Filippo Bracci, Matteo Fiacchi
Given a bounded convex domain of finite D'Angelo type and a boundary point , we prove that the homogeneous complex Monge-Ampère equation $…
The Julia-Wolff-Carathéodory theorem in convex finite type domains
Leandro Arosio, Matteo Fiacchi
Rudin's version of the classical Julia-Wolff-Carathéodory theorem is a cornerstone of holomorphic function theory in the unit ball of . In this paper we obtain a com…
On the approaching geodesics property
Leandro Arosio, Matteo Fiacchi
We survey some recent results and open questions on the approaching geodesics property and its application to the study of the Gromov and horofunction compactifications of a proper…
On the Gromov hyperbolicity of the minimal metric
Matteo Fiacchi
In this paper we study the hyperbolicity in the sense of Gromov of domains in with respect to the minimal metric introduced by ForstneriÄ and Kalaj. In p…