NDLI: Tangential Asymptotic Values of Bounded Analytic Functions

Content Provider	Scilit
Author	Satyanarayana, U. V. Weiss, Max L.
Copyright Year	1973
Description	Suppose is a bounded analytic function on the unit disc whose Fatou boundary function is approximately continuous from above at 1 with value 0. It is well known that tends to zero radially and therefore along every nontangential arc. Tanaka [3] and Boehme and Weiss [1] have shown that must also tend to zero along certain arcs which are tangential from above. The purpose of this paper is to improve their results by producing a larger collection of such tangential arcs along which tends to zero. We construct a class of examples to show that our result is actually better.
Related Links	http://www.ams.org/proc/1973-041-01/S0002-9939-1973-0318498-X/S0002-9939-1973-0318498-X.pdf
Ending Page	172
Page Count	6
Starting Page	167
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2038834
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	41
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Mathematical Physics Analytic Functions Bounded Analytic Tangential Asymptotic Values
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Tangential Asymptotic Values of Bounded Analytic Functions