We remove the local boundedness for Eα-subharmonicity in the framework of (not necessarily strongly local) regular symmetric Dirichlet form (E,D(E)) with α≥0 and establish the stochastic characterization for E-subharmonic functions without assuming the local boundedness.
@article{arxiv.2506.17979,
title = {A remark on subharmonicity for symmetric Dirichlet forms},
author = {Kazuhiro Kuwae and Rong Lei and Ludovico Marini},
journal= {arXiv preprint arXiv:2506.17979},
year = {2026}
}