3 papers
math.CV2024
Uniformly perfect sets, Hausdorff dimension, and conformal capacity
Oona Rainio, Toshiyuki Sugawa, Matti Vuorinen
Using the definition of uniformly perfect sets in terms of convergent sequences, we apply lower bounds for the Hausdorff content of a uniformly perfect subset of …
math.CV2024
Peschl-Minda derivatives and convergent Wick star products on the disk, the sphere and beyond
Michael Heins, Annika Moucha, Oliver Roth +1
We introduce and study invariant differential operators acting on the space of holomorphic functions on the complement ${Ω=\{(z,w) \in \hat{\mathbb{C}}^2 \, : \,…
math.CV2024
Nonlinear resolvents and decreasing Loewner chains
Ikkei Hotta, Sebastian SchleiÃinger, 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…