arXiv subjects

Katharina Riegler

Publications and source records attributed to Katharina Riegler.

3 recordsLinked to original sources

arXiv2025

Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains

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 version of arXiv:2003.07176 which modifies the proof of Mozolyako and Havin for Lipschitz domains.

math.AP↗

arXiv2020

Radial Variation of Positive Harmonic Functions on Lipschitz Domains

In this paper we present the necessary modifications of the proof by Mozolyako and Havin in to work for Lipschitz domains instead of $\mathcal{C}^2$ domains.

math.CA↗

arXiv2020

Radial Variation of Bloch functions on the unit ball of $\mathbb{R}^d$

We provide variational estimates for Bloch functions on the unit ball of $\mathbb{R}^d$ extending previous work on the Anderson conjecture for conformal maps on the unit disc.

math.CA↗