Abstract
One-dimensional local Dirichlet spaces associated with linear diffusions are studied. The first result is to give a representation for any 1-dim local, irreducible and regular Dirichlet space. The second result is a necessary and sufficient condition for a Dirichlet space to be regular subspace of another Dirichlet space.
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Project supported by the National Natural Science Foundation of China (Nos. 10771131, 10671036).
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Fang, X., He, P. & Ying, J. Dirichlet forms associated with linear diffusions. Chin. Ann. Math. Ser. B 31, 507–518 (2010). https://doi.org/10.1007/s11401-010-0589-0
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DOI: https://doi.org/10.1007/s11401-010-0589-0