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Function-Theoretic Metrics and Boundary Behaviour of Functions Meromorphic or Holomorphic in the Unit Disk

Published online by Cambridge University Press:  22 January 2016

Shinji Yamashita
Shinji Yamashita*
Affiliation:
Mathematical Institute Tôhoku UniversitySendai 980, Japan
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Extract

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The metrics to which the title of the present paper refers are expressed in the form of elements of arc length as follows:

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 45 , February 1972 , pp. 109 - 117
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

References

[1] Noshiro, K., Cluster sets, Berlin-Gottingen-Heidelberg (1960).CrossRefGoogle Scholar
[2] Saks, S., Theory of the integral, second edition, Warsaw (1937).Google Scholar
[3] Tsuji, M., Beurling’s theorem on exceptional sets, Tôhoku Math. J. 2 (1950), 113–125.Google Scholar
[4] Tsuji, M., Potential theory in modern function theory, Tokyo (1959).Google Scholar