Special Session 181: Dirichlet Forms and Related Topics

A remark on subharmonicity for symmetric Dirichlet forms
Kazuhiro Kuwae
Fukuoka University/Department of Applied Mathematics
Japan
Co-Author(s):    Rong Lei and Ludovico Marini
Abstract:
We remove the local boundedness for $\mathscr{E}_{\alpha}$-subharmonicity in the framework of (not necessarily strongly local) regular symmetric Dirichlet form $(\mathscr{E},D(\mathscr{E}))$ with $\alpha\geq0$ and establish the stochastic characterization for $\mathscr{E}$-subharmonic functions without assuming the local boundedness.