On the decomposition principle and a Persson type theorem for general regular Dirichlet forms

Daniel Lenz; Peter Stollmann

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arXiv · 1705.10398

On the decomposition principle and a Persson type theorem for general regular Dirichlet forms

Daniel Lenz·Peter Stollmann

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Abstract

We present a decomposition principle for general regular Dirichlet forms satisfying a spatial local compactness condition. We use the decomposition principle to derive a Persson type theorem for the corresponding Dirichlet forms. In particular our setting covers Laplace-Beltrami operators on Riemannian manifolds, and Dirichlet forms associated to $\alpha$-stable processes in Euclidean space.

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Daniel Lenz, Peter Stollmann. 2017-05-29. On the decomposition principle and a Persson type theorem for general regular Dirichlet forms. https://arxiv.org/abs/1705.10398

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