A priori Hölder and Lipschitz regularity for generalized $p$-harmonious functions in metric measure spaces

Ángel Arroyo, José G. Llorente

Let $(\mathbb{X},d,\mu )$ be a proper metric measure space and let $\Omega \subset \mathbb{X}$ be a bounded domain. For each $x\in \Omega$, we choose a radius $0< \varrho (x) \leq \mathrm{dis…