Asymptotic values of modulus 1 of functions in the unit ball of 𝐻^{∞}

Leung, Kar Koi

doi:10.1090/S0002-9947-1975-0361085-4

Asymptotic values of modulus $1$ of functions in the unit ball of $H^{\infty }$

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: 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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