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math.CV2023
Nonlinear resolvents and decreasing Loewner chains
Ikkei Hotta, Sebastian Schleißinger, Toshiyuki Sugawa
In this article we prove that nonlinear resolvents of infinitesimal generators on bounded and convex subdomains of $\C^n$ are decreasing Loewner chains. Furthermore, we consider th…
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.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…