A remark on subharmonicity for symmetric Dirichlet forms

Kazuhiro Kuwae; Rong Lei; Ludovico Marini

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arXiv · 2506.17979

A remark on subharmonicity for symmetric Dirichlet forms

Kazuhiro Kuwae·Rong Lei·Ludovico Marini

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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.

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Kazuhiro Kuwae, Rong Lei, Ludovico Marini. 2025-06-22. A remark on subharmonicity for symmetric Dirichlet forms. https://arxiv.org/abs/2506.17979

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