3 papers
math.CV2019
Univalent functions with quasiconformal extensions: Becker's class and estimates of the third coefficient
Pavel Gumenyuk, Ikkei Hotta
We investigate univalent functions in the unit disk extendible to -q.c.(=quasiconformal) automorphisms of . In particular, w…
math.PR2019
Limits of radial multiple SLE and a Burgers-Loewner differential equation
Ikkei Hotta, Sebastian Schleißinger
We consider multiple radial SLE as the number of curves tends to infinity. We give conditions that imply the tightness of the associated processes given by the Loewner equation. In…
math.CV2018
Problems related to conformal slit-mappings
Ikkei Hotta, Sebastian Schleißinger
In this note we discuss some problems related to conformal slit-mappings. On the one hand, classical Loewner theory leads us to questions concerning the embedding of univalent func…