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A measure-theoretic boundary limit theorem

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References

  1. J. L. Doob, Conditional Brownian motion and boundary limits of harmonic functions. Bull. Soc. Math. France85, 431–458 (1957).

    Google Scholar 

  2. K. Gowrisankaran, Extreme harmonic functions and boundary value problems. Ann. Inst. Fourier13 (2), 307–356 (1963).

    Google Scholar 

  3. K. Gowrisankaran, Fatou-Naïm-Doob limit theorems in the axiomatic system of Brelot. Ann. Inst. Fourier16(2), 455–467 (1966).

    Google Scholar 

  4. L. Naim, Sur le rôle de la frontière de R. S. Martin dans la théorie du potentiel. Ann. Inst. Fourier7, 183–281 (1957).

    Google Scholar 

  5. D. Sibony, Théorème de limites fines et problème de Dirichlet. Ann. Inst. Fourier18(2), 121–134 (1968).

    Google Scholar 

  6. J. C. Taylor, An elementary proof of the theorem of Fatou-Naïm-Doob. Can. Math. Soc. Conf. Proc.1, 153–163 (1981).

    Google Scholar 

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Author notes

  1. Jürgen Bliedtner

    Present address: Fachbereich Mathematik, Universität Frankfurt, Robert-Mayer-Str. 6-8, D-6000, Frankfurt/M

  2. Peter A. Loeb

    Present address: Department of Mathematics, University of Illinois, Champaign-Urbana, 61801, Urbana, Illinois, USA

Authors and Affiliations

    Authors
    1. Jürgen Bliedtner
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    2. Peter A. Loeb
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    Additional information

    The work of the second author was supported in part by a grant from the U.S. National Science Foundation (MCS-82 00494).

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    Bliedtner, J., Loeb, P.A. A measure-theoretic boundary limit theorem. Arch. Math 43, 373–376 (1984). https://doi.org/10.1007/BF01196663

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    • DOI: https://doi.org/10.1007/BF01196663

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