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Module of Annulus

Published online by Cambridge University Press:  22 January 2016

Tohru Akaza  and
Tadashi Kuroda
Tohru Akaza
Affiliation:
Kanazawa University and Nagoya University
Tadashi Kuroda
Affiliation:
Kanazawa University and Nagoya University
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Let C and C′ be two simple closed curves in the complex z-plane which have no point in common and surround the origin. Denote by D the annulus bounded by C and C′. Consider a family {γ} of rectifiable curves γ in D and the family P of all non-negative lower semi-continuous functions ρ = ρ(z) in D. Put

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 18 , April 1961 , pp. 37 - 41
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1961

References

[1] Akaza, T.: On the weakness of some boundary component, Nagoya Math. Journ., 17 (1960), 219–223.Google Scholar
[2] Grötzsch, H.: Eine Bemerkung zum Koebeschen Kreisnormierungsprinzip, Berichte Verl. Sachs. Akad. Wiss. Leipzig Math. Nat., Kl. 87(1935), 319–324.Google Scholar
[3] Rengel, E.: Über einige Schlichttheoreme der konformer Abbildung, Schrif. d. Math. Sem. u. Inst. f. angew. Math., Univ. Berlin, 1(1932–33), 141–162.Google Scholar
[4] Savage, N.: Weak boundary components of an open Riemann surface, Duke Math. Journ., 24(1957), 79–95.CrossRefGoogle Scholar