Quasi-Regular Dirichlet Forms: Examples and Counterexamples

Röckner, Michael ; Schmuland, Byron

Canadian journal of mathematics, Tome 47 (1995) no. 1, pp. 165-200

Résumé

We prove some new results on quasi-regular Dirichlet forms. These include results on perturbations of Dirichlet forms, change of speed measure, and tightness. The tightness implies the existence of an associated right continuous strong Markov process. We also discuss applications to a number of examples including cases with possibly degenerate (sub)-elliptic part, diffusions on loop spaces, and certain Fleming- Viot processes.

Détail

DOI : 10.4153/CJM-1995-009-3

Mots-clés : 31C25, 60J60, Dirichlet forms, quasi-regularity, capacities, smooth measures, exceptional sets, tightness, square field operator, M processes, degenerate cases

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