Weighted Poincaré inequality and heat kernel estimates for finite range jump processes (Q957873)
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scientific article; zbMATH DE number 5375983
| Language | Label | Description | Also known as |
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| English | Weighted Poincaré inequality and heat kernel estimates for finite range jump processes |
scientific article; zbMATH DE number 5375983 |
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Weighted Poincaré inequality and heat kernel estimates for finite range jump processes (English)
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1 December 2008
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This paper under review investigates the transition density for Markov processes generated by finite-range stable-like integro-differential operators on \(\mathbb R^d\). Two-sided estimates as well as parabolic Harnack inequalities are derived. As a main tool of the study, the weighted Poincaré inequality is established for the associated Dirichlet forms.
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Heat kernel
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jump process
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weighted Poincaré inequality
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Harnack inequality
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