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The roles of sets of nondensity points. (English) Zbl 0438.30038


MSC:

30F20 Classification theory of Riemann surfaces
31A20 Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions
30F15 Harmonic functions on Riemann surfaces

Citations:

Zbl 0371.30016
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Full Text: DOI

References:

[1] Glasner, M.; Katz, R., On the behavior of solutions of Δu-Pu at the Royden boundary, J. Analyse Math., 22, 345-354 (1969) · Zbl 0179.15201
[2] Glasner, M.; Nakai, M., The roles of nondensity points, Duke Math. J., 43, 579-595 (1976) · Zbl 0341.31001
[3] Nakai, M., A remark on classification of Riemann surfaces with respect to Δu=Pu, Bull. Amer. Math. Soc., 77, 527-530 (1971) · Zbl 0226.31005
[4] Nakai, M., Order comparisons on canonical isomorphisms, Nagoya Math. J., 50, 67-87 (1973) · Zbl 0271.31002
[5] Nakai, M., Uniform densities on hyperbolic Riemann surfaces, Nagoya Math. J., 51, 1-24 (1973) · Zbl 0267.31009
[6] Nakai, M., Canonical isomorphisms of energy finite solutions of Δu=Pu on open Riemann surfaces, Nagoya Math. J., 56, 79-84 (1974) · Zbl 0304.31003
[7] Nakai, M., Extremizations and Dirichlet integrals on Riemann surfaces, J. Math. Soc. Japan, 28, 581-603 (1976) · Zbl 0323.30021
[8] Nakai, M., An example on canonical isomorphisms, Nagoya Math. J., 70, 25-40 (1978) · Zbl 0408.31003
[9] Nakai, M.; Segawa, S., Tôki covering surfaces and their applications, J. Math. Soc. Japan, 30, 359-373 (1978) · Zbl 0378.30012
[10] L. Sario and M. Nakai,Classification Theory of Riemann Surfaces, Springer-Verlag, 1970. · Zbl 0199.40603
[11] Singer, I., Boundary isomorphism between Dirichlet finite solutions of Δu=Pu and harmonic functions, Nagoya Math. J., 50, 7-20 (1973) · Zbl 0272.31001
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