On Riemann Surfaces, on which no Bounded Harmonic Function Exists

AKIRA MORI

doi:10.2969/jmsj/00320285

AKIRA MORI

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1951 Volume 3 Issue 2 Pages 285-289

DOI https://doi.org/10.2969/jmsj/00320285

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Published: 1951 Received: December 20, 1950 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1)P. J. Myrberg: Über die Existenz der Greenschen Funktionen auf einer gegebenen Riemannschen Fläche, Acta Math. 61 (1933).
2) W. Seidel: On the distribution of values of bounded analytic functions, Trans. of Amer. Math. Soc. 36 (1934).
3) O. Frostman: Potentiel d'équilibre et capacité des ensembles, Thèse Lund (1935).
4) S. Kametani and T. Ugaheri: A remark on Kawakami's extension of Löwner's lemma, Proc. Imp. Acad. Tokyo Vol. 18 (1942).
5) Lusin-Priwaloff: Sur l'unicité et multiplicité des fonctions analytiques, Ann. Sci. norm. sup. 42 (1925). M. Tsuji: Theory of meromorphic functions in a neighbourhood of a closed set of capacity zero, Japanese Journ. of Math. Vol. 19 (1944).
6) V. Nagai: On the behaviour of the boundary of Riemann surfaces II, Proc. of Japan Acad. Vol. 26 (1950).
7) M. Tsuji: Some metrical theorems on Fuchsian groups, which will appear in Kodai mathcmatical seminar reports.
8) Cf. S. Stoilow: Sur les singularités des fonctions analytiques multiformes dont la surface de Riemann a sa frontière de mesure harmonique null, Mathematica, 19 (1943), pp. 126-138.
9) M. Tsuji: loc, cit. 5). K. Noshiro: Contribution to the theory of the singularities of analytic functions, Japanese Journ. of Math. Vol. 19 (1948).

Right : 1) P. J. Myrberg: Über die Existenz der Greenschen Funktionen auf einer gegebenen Riemannschen Fläche, Acta Math. 61 (1933).
2) W. Seidel: On the distribution of values of bounded analytic functions, Trans. of Amer. Math. Soc. 36 (1934).
3) O. Frostman: Potentiel d'équilibre et capacité des ensembles, Thèse Lund (1935).
4) S. Kametani and T. Ugaheri: A remark on Kawakami's extension of Löwner's lemma, Proc. Imp. Acad. Tokyo Vol. 18 (1942).
5) Lusin-Priwaloff: Sur l'unicité et multiplicité des fonctions analytiques, Ann. Sci. norm. sup. 42 (1925). M. Tsuji: Theory of meromorphic functions in a neighbourhood of a closed set of capacity zero, Japanese Journ. of Math. Vol. 19 (1944).
6) Y. Nagai: On the behaviour of the boundary of Riemann surfaces II, Proc. of Japan Acad. Vol. 26 (1950).
7) M. Tsuji: Some metrical theorems on Fuchsian groups, which will appear in Kôdai mathcmatical seminar reports.
8) Cf. S. Stoilow: Sur les singularités des fonctions analytiques multiformes dont la surface de Riemann a sa frontière de mesure harmonique null, Mathematica, 19 (1943), pp. 126-138.
9) M. Tsuji: loc. cit. 5). K. Noshiro: Contribution to the theory of the singularities of analytic functions, Japanese Journ. of Math. Vol. 19 (1948).

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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