In this article we solve the complex Monge–Ampère problem for measures with large
singular part. This result generalizes classical results by Demailly, Lelong and Lempert ao …

Wolff–Denjoy theorems in nonsmooth convex domains | Annali di Matematica Pura ed Applicata
(1923 -) Skip to main content SpringerLink Account Menu Find a journal Publish with us Search …

We characterize infinitesimal generators of semigroups of holomorphic self-maps of strongly
convex domains using the pluricomplex Green function and the pluricomplex Poisson …

Let $ D $ be a bounded strongly convex domain in the complex space of dimension $ n $.
For a fixed point $ p\in\partial D $, we consider the solution of a homogeneous complex …

We introduce a prime end-type theory on complete Kobayashi hyperbolic manifolds using
horosphere sequences. This allows to introduce a new notion of boundary–new even in the …

Rudin's version of the classical Julia-Wolff-Carath\'eodory theorem is a cornerstone of
holomorphic function theory in the unit ball of $\mathbb {C}^ d $. In this paper we obtain a …

In this paper we introduce, via a Phragmén-Lindelöf type theorem, a maximal
plurisubharmonic function in a strongly pseudoconvex domain. We call such a function the …

In this paper, we generalize a recent work of Liu et al. from the open unit ball B^ n ⊂ C^ n B
n⊂ C n to more general bounded strongly pseudoconvex domains with C^ 2 C 2 …

In this paper we establish several invariant boundary versions of the (infinitesimal) Schwarz-
Pick lemma for conformal pseudometrics on the unit disk and for holomorphic selfmaps of …

We highlight a condition, the approaching geodesics property, on a proper geodesic
Gromov hyperbolic metric space, which implies that the horofunction compactification is …