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Existence of Tangential Limits for α-Harmonic Functions on Half Spaces

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Abstract

Our aim in this paper is to prove the existence of tangential limits for Poisson integrals of the fractional order of functions in the L p Hölder space on half spaces.

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Authors and Affiliations

  1. The Division of Mathematical and Information Sciences, Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Hiroshima, 739-8521, Japan

    Yoshihiro Mizuta

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  1. Yoshihiro Mizuta
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Correspondence to Yoshihiro Mizuta.

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Mizuta, Y. Existence of Tangential Limits for α-Harmonic Functions on Half Spaces. Potential Anal 25, 29–36 (2006). https://doi.org/10.1007/s11118-005-9004-y

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  • DOI: https://doi.org/10.1007/s11118-005-9004-y

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