A remark on subharmonicity for symmetric Dirichlet forms
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914284336840704 |
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| author | Kuwae, Kazuhiro Lei, Rong Marini, Ludovico |
| author_facet | Kuwae, Kazuhiro Lei, Rong Marini, Ludovico |
| contents | We remove the local boundedness for $\mathscr{E}_α$-subharmonicity in the framework of (not necessarily strongly local) regular symmetric Dirichlet form $(\mathscr{E},D(\mathscr{E}))$ with $α\geq0$ and establish the stochastic characterization for $\mathscr{E}$-subharmonic functions without assuming the local boundedness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_17979 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A remark on subharmonicity for symmetric Dirichlet forms Kuwae, Kazuhiro Lei, Rong Marini, Ludovico Probability Functional Analysis Metric Geometry 31C25, 31C05, 60J46, 30L15, 53C21 We remove the local boundedness for $\mathscr{E}_α$-subharmonicity in the framework of (not necessarily strongly local) regular symmetric Dirichlet form $(\mathscr{E},D(\mathscr{E}))$ with $α\geq0$ and establish the stochastic characterization for $\mathscr{E}$-subharmonic functions without assuming the local boundedness. |
| title | A remark on subharmonicity for symmetric Dirichlet forms |
| topic | Probability Functional Analysis Metric Geometry 31C25, 31C05, 60J46, 30L15, 53C21 |
| url | https://arxiv.org/abs/2506.17979 |