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Analytic functions with finite Dirichlet integrals on Riemann surfaces. (English) Zbl 0406.30036


MSC:

30F20 Classification theory of Riemann surfaces
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References:

[1] Ahlfors, L. &Beurling, A., Conformal invariants and function-theoretic null-sets.Acta Math., 83 (1950), 101–129. · Zbl 0041.20301
[2] Burbea, J., Capacities and spans on Riemann surfaces.Proc. Amer. Math. Soc., 72 (1978) 327–332. · Zbl 0419.30009
[3] Sakai M., On constants in extremal problems of analytic functions.Kõdai Math. Sem. Rep., 21 (1969), 223–225, 22 (1970), 128. · Zbl 0203.38501
[4] –, On basic domains of extremal functions.Kõdai Math. Sem. Rep., 24 (1972), 251–258. · Zbl 0249.30009
[5] Sario, L. &Nakai, M.,Classification theory of Riemann surfaces. Springer-Verlag. Berlin, 1970. · Zbl 0199.40603
[6] Sario, L. &Oikawa, K.,Capacity functions. Springer-Verlag, Berlin, 1969. · Zbl 0184.10503
[7] Schiffer, M., The span of multiply connected domains.Duke Math. J., 10 (1943), 209–216. · Zbl 0060.23704
[8] Schiffer, M. &Spencer, D. C.,Functionals of finite Riemann surfaces. Princeton Univ. Press, Princeton, 1954. · Zbl 0059.06901
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