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On Metric Properties of Sets of Angular Limits of Meromorphic Functions

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 f be a nonconstant function meromorphic in the unit disc , with circumference C, and let Ez be a subset of C with positive (linear) measure. Suppose that at each ζ ∈ Ezf has an angular limit aζ and let It is known that Ew contains a closed set with positive harmonic measure (see Priwalow [6, p. 210] or Tsuji [7, p. 339]).

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 26 , February 1966 , pp. 121 - 126
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1966

References

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