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Tangential Boundary Properties of Arbitrary Functions in the Unit Disc

Published online by Cambridge University Press:  22 January 2016

Hidenobu Yoshida
Hidenobu Yoshida*
Affiliation:
Chiba University, Chiba
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1. By the method of Dolzhenko’s paper, we studied relations between non-tangetial (angular) boundary behaviors and horocyclic boundary behaviors of arbitrary functions defined in the open unit disc of the complex plane in [8]. Vessey [5], [6] investigated the behavior of arbitrary functions on paths which are “more tangential” than horocycles. The purpose of the present paper is to prove the fact that is sharper than the results in Vessey [5], [6], and generalize the results in [8] to obtain the connection between behaviors on two “more tangential” angles.

Information

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 46 , March 1972 , pp. 111 - 120
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1972

References

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