Perturbation of non-symmetric Dirichlet forms and associated Markov processes (Q2746529)
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scientific article; zbMATH DE number 1656185
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perturbation of non-symmetric Dirichlet forms and associated Markov processes |
scientific article; zbMATH DE number 1656185 |
Statements
22 October 2002
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Dirichlet form
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smooth measure
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Kato class
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\(h\)-associated
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\(m\)-tight \(m\)-special process
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Perturbation of non-symmetric Dirichlet forms and associated Markov processes (English)
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A quasi-regular Dirichlet form \((\mathcal E,D(\mathcal E))\) on a metrisable Lusin space with a \(\sigma\) finite Borel measure \(m\) perturbed by a smooth signed measure \(\mu =\mu-\mu^{-}\) is studied, where \(\mu\) is smooth and \(\mu^{-}\) is in Kato class. The perturbed form \((\mathcal E^{\mu},D(\mathcal E^{\mu}))\) is proved to be \(h\)-associated with an \(m\)-tight \(m\)-special standard process by extending the necessary and sufficient condition of a strongly contract Markovian semigroup associated with a Markov process to a strongly uniformly bounded Markovian semigroup.
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