3 papers
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…
math.CA2020
Radial Variation of Positive Harmonic Functions on Lipschitz Domains
Paul F. X. Müller, Katharina Riegler
In this paper we present the necessary modifications of the proof by Mozolyako and Havin in to work for Lipschitz domains instead of domains.
math.CA2018
Radial Variation of Bloch functions on the unit ball of
Paul F. X. Müller, Katharina Riegler
We provide variational estimates for Bloch functions on the unit ball of extending previous work on the Anderson conjecture for conformal maps on the unit disc.