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- W4298507367 abstract "We present a study of what may be called an intrinsic metric for a general regular Dirichlet form. For such forms we then prove a Rademacher type theorem. For strongly local forms we show existence of a maximal intrinsic metric (under a weak continuity condition) and for Dirichlet forms with an absolutely continuous jump kernel we characterize intrinsic metrics by bounds on certain integrals. We then turn to applications on spectral theory and provide for (measure perturbation of) general regular Dirichlet forms an Allegretto-Piepenbrinck type theorem, which is based on a ground state transform, and a Shnol type theorem. Our setting includes Laplacian on manifolds, on graphs and $alpha$-stable processes." @default.
- W4298507367 created "2022-10-02" @default.
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- W4298507367 date "2010-12-22" @default.
- W4298507367 modified "2023-09-27" @default.
- W4298507367 title "Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory" @default.
- W4298507367 doi "https://doi.org/10.48550/arxiv.1012.5050" @default.
- W4298507367 hasPublicationYear "2010" @default.
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