The $p$-harmonic boundary for quasi-isometric graphs and manifolds

Autor:	Puls, Michael J.
Rok vydání:	2010
Předmět:	Mathematics - Functional Analysis Mathematics - Differential Geometry 31C12 31C20 43A15 53C21
Druh dokumentu:	Working Paper
Popis:	Let $p$ be a real number greater number greater than one. Suppose that a graph $G$ of bounded degree is quasi-isometric with a Riemannian manifold $M$ with certain properties. Under these conditions we will show that the $p$-harmonic boundary of $G$ is homeomorphic to the $p$-harmonic boundary of $M$. We will also prove that there is a bijection between the $p$-harmonic functions on $G$ and the $p$-harmonic functions on $M$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1002.1061 Zobrazit plný text záznamu View this record from Arxiv