On subharmonicity for symmetric Markov processes

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概要

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• We establish the equivalence of the analytic and probabilistic notions of subharmonicity in the framework of general symmetric Hunt processes on locally compact separable metric spaces, extending an earlier work of the first named author on the equivalence of the analytic and probabilistic notions of harmonicity. As a corollary, we prove a strong maximum principle for locally bounded finely continuous subharmonic functions in the space of functions locally in the domain of the Dirichlet form under some natural conditions.

著者

• Chen Zhen-qing

  Department Of Mathematics University Of California

• Kuwae Kazuhiro

  Department Of Mathematics And Engineering Graduate School Of Science And Technology Kumamoto Univers

• Kuwae Kazuhiro

  Department of Mathematics and Engineering, Graduate School of Science and Technology, Kumamoto University

関連論文

• Subharmonicity for symmetric Markov processes (Stochastic Analysis of Jump Processes and Related Topics)
• Weighted Poincare Inequality of Fractional Order (Stochastic Analysis of Jump Processes and Related Topics)
• Quasi-homeomorphisms of Dirichlet forms
• A topological splitting theorem for weighted Alexandrov spaces
• Hardy inequality for censored stable processes
• On a Liouville type theorem for harmonic maps to convex spaces via Markov chains (Proceedings of RIMS Workshop on Stochastic Analysis and Applications)
• On subharmonicity for symmetric Markov processes
• On subharmonicity for symmetric Markov processes

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