$\varepsilon$-approximability and Quantitative Fatou Theorem on Riemannian Manifolds
Analysis of PDEs
2023-09-21 v1 Differential Geometry
Abstract
We prove the Quantitative Fatou Theorem for Lipschitz domains on complete Riemannian manifolds. This requires extending the -approximation lemma to the manifold setting. Our studies apply to harmonic functions, as well as to a class of A-harmonic functions on manifolds. The presented results extend works by Dahlberg, Garnett, Bortz and Hofmann.
Keywords
Cite
@article{arxiv.2309.11264,
title = {$\varepsilon$-approximability and Quantitative Fatou Theorem on Riemannian Manifolds},
author = {Marcin Gryszówka},
journal= {arXiv preprint arXiv:2309.11264},
year = {2023}
}