11 citations · 27 across the 9 of their papers we have counts for
10 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 $(d…
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…
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 comp…
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 Forstnerič and Kalaj. In pa…
Backward dynamics of non-expanding maps in Gromov hyperbolic metric spaces
Leandro Arosio, Matteo Fiacchi, Lorenzo Guerini +1
We study the interplay between the backward dynamics of a non-expanding self-map of a proper geodesic Gromov hyperbolic metric space and the boundary regular fixed points o…
Worm domains are not Gromov hyperbolic
Leandro Arosio, Gian Maria Dall'Ara, Matteo Fiacchi
We show that Worm domains are not Gromov hyperbolic with respect to the Kobayashi distance.
The horofunction boundary of a Gromov hyperbolic space
Leandro Arosio, Matteo Fiacchi, Sebastien Gontard +1
We highlight a condition, the approaching geodesics property, on a proper geodesic Gromov hyperbolic metric space, which implies that the horofunction compactification is topologic…
Gromov hyperbolicity of pseudoconvex finite type domains in
Matteo Fiacchi
We prove that every bounded smooth domain of finite d'Angelo type in endowed with the Kobayashi distance is Gromov hyperbolic and its Gromov boundary is canonically…
Approximation and Loewner Theory of holomorphic covering mappings
Matteo Fiacchi
We give conditions in order to approximate locally uniformly holomorphic covering mappings of the unit ball of with respect to an arbitrary norm, with entire holomor…
The embedding conjecture and the approximation conjecture in higher dimension
Matteo Fiacchi
In this paper we show the equivalence among three conjectures (and related open questions), namely, the embedding of univalent maps of the unit ball into Loewner chains, the approx…