Integrability of Functionals of Dirichlet Processes, Probabilistic Representations of Semigroups, and Estimates of Heat Kernels
This paper consists of three parts. In Part I, we obtain results on the integrability of functional (of exponential type) of Dirichlet processes. In Part II, we give a striking probabilistic representation of semigroup (probably non-Markovian) associated with a non-divergence operator. Part III is d...
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| Published in: | Journal of functional analysis Vol. 153; no. 2; pp. 320 - 342 |
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| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier Inc
10-03-1998
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| Online Access: | Get full text |
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| Summary: | This paper consists of three parts. In Part I, we obtain results on the integrability of functional (of exponential type) of Dirichlet processes. In Part II, we give a striking probabilistic representation of semigroup (probably non-Markovian) associated with a non-divergence operator. Part III is devoted to perturbation bounds on the operator norm of semigroups and a new (short) proof of the off-diagonal estimates of the heat kernel associated with a divergence operator. The theory of Dirichlet forms and forward, backward martingales decompositions play a central role in the whole paper. |
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| ISSN: | 0022-1236 1096-0783 |
| DOI: | 10.1006/jfan.1997.3182 |