刊物主题:Potential Theory; Probability Theory and Stochastic Processes; Geometry; Functional Analysis;
出版者:Springer Netherlands
ISSN:1572-929X
卷排序:46
文摘
In this paper we give various characterizations of quasiopen sets and quasicontinuous functions on metric spaces. For complete metric spaces equipped with a doubling measure supporting a p-Poincaré inequality we show that quasiopen and p-path open sets coincide. Under the same assumptions we show that all Newton-Sobolev functions on quasiopen sets are quasicontinuous.