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Theory of Meromorphic Functions on an Open Riemann Surface with Null Boundary

Published online by Cambridge University Press:  22 January 2016

Masatsugu Tsuji
Masatsugu Tsuji*
Affiliation:
Mathematical Institute, Tokyo University
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In the former paper, I have developped a theory of meromorphic functions in a neighbourhood of a bounded closed set E of logarithmic capacity zero, by means of Evans’ potential fnnction u(z), which tends to ∞, when z tends to any point of E. It is not known, whether such a potential function exists on an open Riemann surface with null boundary, but by a substitute of Evans’ function. we shall develop the similar theory of meromorphic functions on an open Riemann surface with null boundary.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 6 , October 1953 , pp. 137 - 150
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1953

References

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