The weak Cartan property for the p-fine topology on metric spaces
نویسندگان
چکیده
منابع مشابه
The Weak Cartan Property for the p-fine Topology on Metric Spaces
We study the p-fine topology on complete metric spaces equipped with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞. We establish a weak Cartan property, which yields characterizations of the p-thinness and the p-fine continuity, and allows us to show that the p-fine topology is the coarsest topology making all psuperharmonic functions continuous. Our p-harmonic and superharmo...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2015
ISSN: 0022-2518
DOI: 10.1512/iumj.2015.64.5527