21 citations · 32 across the 3 of their papers we have counts for
3 papers
Evolution Families and the Loewner Equation II: complex hyperbolic manifolds
Filippo Bracci, Manuel D. Contreras, S. Diaz-Madrigal
We prove that evolution families on complex complete hyperbolic manifolds are in one to one correspondence with certain semicomplete non-autonomous holomorphic vector fields, provi…
Evolution Families and the Loewner Equation I: The Unit Disc
Filippo Bracci, Manuel D. Contreras, Santiago Diaz-Madrigal
In this paper we introduce a general version of the Loewner differential equation which allows us to present a new and unified treatment of both the radial equation introduced in 1…
Aleksandrov-Clark measures and semigroups of analytic functions in the unit disc
Filippo Bracci, Manuel D. Contreras, Santiago Diaz-Madrigal
In this paper we prove a formula describing the infinitesimal generator of a continuous semigroup $(\v_t)$ of holomorphic self-maps of the unit disc with respect to a boundary regu…