21 citations · 89 across the 25 of their papers we have counts for
3 papers · 1 filter
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…
Holomorphic self-maps of the disk intertwining two linear fractional maps
Manuel D. Contreras, Santiago Díaz-Madrigal, María J. Martín +1
We characterize (in almost all cases) the holomorphic self-maps of the unit disk that intertwine two given linear fractional self-maps of the disk. The proofs are based on iteratio…