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A Dirichlet Form on the Sierpinski Gasket, Related Function Spaces, and Traces

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Book cover Fractal Geometry and Stochastics III

Part of the book series: Progress in Probability ((PRPR,volume 57))

Abstract

A trace result for the domain of a Dirichlet form on the Sierpinski gasket is given, and it is explained how the result relates to various results for for Sobolev, Besov, and Lipschitz spaces.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Umeå, 90187, Umeå, Sweden

    Alf Jonsson

Authors
  1. Alf Jonsson
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Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, 17487, Germany

    Christoph Bandt

  2. Department of Physics, University of Rome La Sapienza, Via G. Boni 20, Roma, 00162, Italy

    Umberto Mosco

  3. Mathematisches Institut, Friedrich-Schiller-Universität, Jena, 07740, Germany

    Martina Zähle

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© 2004 Springer Basel AG

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Jonsson, A. (2004). A Dirichlet Form on the Sierpinski Gasket, Related Function Spaces, and Traces. In: Bandt, C., Mosco, U., Zähle, M. (eds) Fractal Geometry and Stochastics III. Progress in Probability, vol 57. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7891-3_15

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  • DOI: https://doi.org/10.1007/978-3-0348-7891-3_15

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9612-2

  • Online ISBN: 978-3-0348-7891-3

  • eBook Packages: Springer Book Archive

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