Dirichlet forms associated with linear diffusions

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.

Keywords

Symmetrizing measure / Linear diffusion / Dirichlet space / Regular subspace

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