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Picard principle for finite densities on some end

Published online by Cambridge University Press:  22 January 2016

Michihiko Kawamura
Michihiko Kawamura*
Affiliation:
Mathematical Institute, Faculty of Education, Fukui University
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Consider a parabolic end Ω of a Riemann surface in the sence of Heins [2] (cf. Nakai [3]). A density P = P(z)dxdy (z = x + iy) is a 2-form on with nonnegative locally Hölder continuous coefficients P(z). A density P is said to be finite if the integral

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 67 , August 1977 , pp. 35 - 40
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

[1] Hayashi, K.: Les solutions positive de léquation Γu=Pu sur une surface de Riemann, Kōdai Math. Sem. Rep., 13 (1961), 20–24.Google Scholar
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[6] Nakai, M.: Picard principle for finite densities, Nagoya Math. J., vol.70 (1978) (to appear).CrossRefGoogle Scholar
[7] Nakai, M.: A remark on Picard principle II, Proc. Japan Acad., 51 (1975), 308–311.Google Scholar