Perturbation of generalized Dirichlet forms and associated Markov processes (Q2780902)
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scientific article; zbMATH DE number 1720109
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation of generalized Dirichlet forms and associated Markov processes |
scientific article; zbMATH DE number 1720109 |
Statements
5 January 2003
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generalized Dirichlet forms
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smooth measures
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quasi-regular resolvent
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\(m\)-tight \(m\)-special standard processes
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Perturbation of generalized Dirichlet forms and associated Markov processes (English)
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Suppose that \({\mathcal E}\) is a quasi-regular generalized Dirichlet form on a general state space and \(\mu\) is a smooth measure. In this paper the author proves that the perturbed form \({\mathcal E}^{\mu}\) defined by NEWLINE\[NEWLINE {\mathcal E}^{\mu}(u, v)={\mathcal E}(u, v)+(u, v)_{\mu} NEWLINE\]NEWLINE is associated with an \(m\)-tight \(m\)-special standard Markov process.
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