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On the Asymptotic Behavior of Functions Harmonic in a Disc
Published online by Cambridge University Press: 22 January 2016
Extract
Let D be the open unit disc, and let C be the unit circle in the complex plane. Let f be a (real-valued) function that is harmonic in D. A simple continuous curve β: z(t) (0≦t<1) contained in D such that |z(t)|→1 as t→1 is a boundary path with end (the bar denotes closure).
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- Copyright © Editorial Board of Nagoya Mathematical Journal 1966