2 papers
math.CV2025
GreenÅ Mapping and Julia Sets
Ilia Binder, Paul F. X. Müller, Peter Yuditskii
In March 1999, the first named author (Binder) posed the problem of showing that a ``good direction'' exists, for any Green's mapping , i.e.,…
math.AP2025
Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains
Jakob Fromherz, Paul F. X. Müller, Katharina Riegler
We provide radial variational estimates for positive harmonic functions on Lipschitz domains in higher dimensions. The intention of this paper is to document an updated and refined…