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On the Asymptotic Behavior of Functions Harmonic in a Disc

Published online by Cambridge University Press:  22 January 2016

J. E. Mcmillan
J. E. Mcmillan*
Affiliation:
University of Wisconsin-Milwaukee
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Let D be the open unit disc, and let C be the unit circle in the complex plane. Let f be a (real-valued) function that is harmonic in D. A simple continuous curve β: z(t) (0≦t<1) contained in D such that |z(t)|→1 as t→1 is a boundary path with end (the bar denotes closure).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 28 , October 1966 , pp. 187 - 191
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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