The role of boundary Harnack principle in the study of Picard principle

Toshimasa TADA

doi:10.2969/jmsj/03430445

Toshimasa TADA

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JOURNAL FREE ACCESS

1982 Volume 34 Issue 3 Pages 445-453

DOI https://doi.org/10.2969/jmsj/03430445

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Published: 1982 Received: November 26, 1980 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) M. Brelot, On topologies and boundaries in potential theory, Lecture Notes in Math., 175, Springer-Verlag, 1971.
2) K. Hayashi, Les solutions positives de l'équation Δu=Pu sur une surface de Riemann, Kodai Math. Sem. Rep., 13 (1961), 20-24.
3) M. Heins, Riemann surfaces of infinite genus, Ann. of Math., 55 (1952), 296-317.
4) H. Imai, On singular indices of rotation free densities, Pacific J. Math., 80(1979), 179-190.
5) S. Ito, Martin boundary for linear elliptic differential operator of second order in a manifold, J. Math. Soc. Japan, 16(1964), 307-334.
6) M. Kawamura, On a conjecture of Nakai on Picard principle, J. Math. Soc. Japan, 31 (1979), 359-372.
7) M. Nakai, Martin boundary over isolated singularity of rotation free density, J. Math. Soc. Japan, 26 (1974), 483-507.
8) M. Nakai, Picard principle and Riemann theorem, Tohoku Math. J., 28 (1976), 277-292.

Right : [1] M. Brelot, On topologies and boundaries in potential theory, Lecture Notes in Math., 175, Springer-Verlag, 1971.
[2] K. Hayashi, Les solutions positives de l'équation Δu=Pu sur une surface de Riemann, Kodai Math. Sem. Rep., 13 (1961), 20-24.
[3] M. Heins, Riemann surfaces of infinite genus, Ann. of Math., 55 (1952), 296-317.
[4] H. Imai, On singular indices of rotation free densities, Pacific J. Math., 80 (1979), 179-190.
[5] S. Itô, Martin boundary for linear elliptic differential operator of second order in a manifold, J. Math. Soc. Japan, 16 (1964), 307-334.
[6] M. Kawamura, On a conjecture of Nakai on Picard principle, J. Math. Soc. Japan, 31 (1979), 359-372.
[7] M. Nakai, Martin boundary over isolated singularity of rotation free density, J. Math. Soc. Japan, 26 (1974), 483-507.
[8] M. Nakai, Picard principle and Riemann theorem, Tohoku Math. J., 28 (1976), 277-292.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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