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Restricted Mean Value Property for Balayage Spaces with Jumps

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Abstract

It is shown that, for α-stable processes (Riesz potentials) or—more generally—for balayage spaces with jumps, “one-radius” results for harmonicity can be obtained under fairly weak assumptions.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, 33501, Bielefeld, Germany

    Wolfhard Hansen

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  1. Wolfhard Hansen
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Correspondence to Wolfhard Hansen.

Additional information

The author is indebted to Moritz Kaßmann for suggesting the investigation of this matter.

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Hansen, W. Restricted Mean Value Property for Balayage Spaces with Jumps. Potential Anal 36, 263–273 (2012). https://doi.org/10.1007/s11118-011-9229-x

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  • DOI: https://doi.org/10.1007/s11118-011-9229-x

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