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- W1523644792 abstract "Let $(X,mathcal W)$ be a balayage space, $1in mathcal W$, or - equivalently - let $mathcal W$ be the set of excessive functions of a Hunt process on a locally compact space $X$ with countable base such that $mathcal W$ separates points, every function in $mathcal W$ is the supremum of its continuous minorants and there exist strictly positive continuous $u,vin mathcal W$ such that $u/vto 0$ at infinity. We suppose that there is a Green function $G>0$ for $X$, a metric $rho$ on $X$ and a decreasing function $gcolon[0,infty)to (0,infty]$ having the doubling property and a mild upper decay such that $Gapprox gcircrho$ and the capacity of balls of radius $r$ is approximately $1/g(r)$. It is shown that bounded harmonic functions are Holder continuous, if the constant function $1$ is harmonic and jumps out of balls admit a polynomial estimate. The latter is proven if scaling invariant Harnack inequalities hold." @default.
- W1523644792 created "2016-06-24" @default.
- W1523644792 creator A5037973417 @default.
- W1523644792 date "2015-02-23" @default.
- W1523644792 modified "2023-09-27" @default.
- W1523644792 title "Hölder continuity of harmonic functions for Hunt processes with Green function" @default.
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