Asymptotic values of modulus of functions in the unit ball of
Author:
Kar Koi Leung
Journal:
Trans. Amer. Math. Soc. 203 (1975), 119-128
MSC:
Primary 30A72; Secondary 30A76
DOI:
https://doi.org/10.1090/S0002-9947-1975-0361085-4
MathSciNet review:
0361085
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Abstract | References | Similar Articles | Additional Information
Abstract: The main purpose of this paper is to prove a theorem concerning a necessary and sufficient condition for an inner function to have a limiting value of modulus 1 along an arc inside the unit disc, terminating at a point of the unit circle.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1975-0361085-4
Keywords:
Inner functions,
Hardy space,
asymptotic values,
boundary behavior
Article copyright:
© Copyright 1975
American Mathematical Society