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 $H^{\infty }$
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by Kar Koi Leung

Trans. Amer. Math. Soc. 203 (1975), 119-128

DOI: https://doi.org/10.1090/S0002-9947-1975-0361085-4

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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.

References

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Funktionentheorie

Theory of functions of a complex variable

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