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arXiv · 2501.18273

Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains

Jakob Fromherz·Paul F. X. Müller·Katharina Riegler
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Abstract

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.

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Jakob Fromherz, Paul F. X. Müller, Katharina Riegler. 2025-01-30. Bounding Radial Variation of positive harmonic Functions on Lipschitz Domains. https://arxiv.org/abs/2501.18273

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