JournalsjstVol. 9, No. 3pp. 1089–1113

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

  • H. Daniel Lenz

    Friedrich-Schiller Universität, Jena, Germany
  • Peter Stollmann

    Technische Universität Chemnitz, Germany
On the decomposition principle and a Persson type theorem for general regular Dirichlet forms cover

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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 α\alpha-stable processes in Euclidean space.

Cite this article

H. Daniel Lenz, Peter Stollmann, On the decomposition principle and a Persson type theorem for general regular Dirichlet forms. J. Spectr. Theory 9 (2019), no. 3, pp. 1089–1113

DOI 10.4171/JST/272