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On Symmetric Stable-Like Processes: Some Path Properties and Generators

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  • T. Uemura

    (University of Hyogo)

Abstract

We derive some path properties of symmetric stable-like processes constructed via Dirichlet form theory and then sufficient conditions in order that the generators of the forms contain a nice functions space, are given.

Suggested Citation

  • T. Uemura, 2004. "On Symmetric Stable-Like Processes: Some Path Properties and Generators," Journal of Theoretical Probability, Springer, vol. 17(3), pages 541-555, July.
    • Handle: RePEc:spr:jotpro:v:17:y:2004:i:3:d:10.1023_b:jotp.0000040288.26024.50
    DOI: 10.1023/B:JOTP.0000040288.26024.50
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    Cited by:

    1. Peng Jin, 2021. "Uniqueness in Law for Stable-Like Processes of Variable Order," Journal of Theoretical Probability, Springer, vol. 34(2), pages 522-552, June.
    2. Haruna Okamura & Toshihiro Uemura, 2021. "On Symmetric Stable-Type Processes with Degenerate/Singular Lévy Densities," Journal of Theoretical Probability, Springer, vol. 34(2), pages 809-826, June.
    3. Yuichi Shiozawa & Toshihiro Uemura, 2014. "Explosion of Jump-Type Symmetric Dirichlet Forms on ℝ d," Journal of Theoretical Probability, Springer, vol. 27(2), pages 404-432, June.

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