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Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated Resolvents

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Dirichlet Forms and Related Topics (IWDFRT 2022)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 394))

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Abstract

In this paper, we give sufficient conditions for the equivalence between semigroup strong Feller property and resolvent strong Feller property.

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Acknowledgements

This work was supported by JSPS KAKENHI Grant number 17K14204, 17H02846, and 20K22299.

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Authors and Affiliations

  1. Graduate School of Science, Kyoto University, Kitashirakawa-Oiwakecho, Sakyo-ku, Kyoto, 606-8502, Japan

    Seiichiro Kusuoka

  2. Department of Applied Mathematics, Faculty of Science, Fukuoka University, 8-19-1 Nanakuma, Jonan-ku, Fukuoka, 814-0180, Japan

    Kazuhiro Kuwae

  3. Institute of Mathematics, University of Tsukuba, 1-1-1, Tennodai, Tsukuba, Ibaraki, 305-8571, Japan

    Kouhei Matsuura

Authors
  1. Seiichiro Kusuoka
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  2. Kazuhiro Kuwae
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  3. Kouhei Matsuura
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Correspondence to Kazuhiro Kuwae .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Washington, Seattle, WA, USA

    Zhen-Qing Chen

  2. Department of Mathematics, Kansai University, Osaka, Japan

    Masayoshi Takeda

  3. Department of Mathematics, Kansai University, Osaka, Japan

    Toshihiro Uemura

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Kusuoka, S., Kuwae, K., Matsuura, K. (2022). Equivalence of the Strong Feller Properties of Analytic Semigroups and Associated Resolvents. In: Chen, ZQ., Takeda, M., Uemura, T. (eds) Dirichlet Forms and Related Topics. IWDFRT 2022. Springer Proceedings in Mathematics & Statistics, vol 394. Springer, Singapore. https://doi.org/10.1007/978-981-19-4672-1_15

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