Harmonic functions having no tangential limits-Reference-Cited by-同舟云学术

Harmonic functions having no tangential limits

Published:1990 Issue:2 Volume:108 Page:457-464
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Aikawa Hiroaki

Abstract

Let C 0 {C_0} be a tangential curve in D = { | z | > 1 } D = \left \{ {|z| > 1} \right \} which ends at 1 and let C θ {C_\theta } be its rotation about the origin through an angle θ \theta . We construct a bounded harmonic function in D D which fails to have limits along C θ {C_\theta } for all θ , 0 ≤ θ ≤ 2 π \theta ,0 \leq \theta \leq 2\pi .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1990-108-02/S0002-9939-1990-0990410-X/S0002-9939-1990-0990410-X.pdf

Reference4 articles.

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2. J. E. Littlewood, On a theorem of Fatou, J. London Math. Soc. 2 (1927), 172-176.

3. The boundary behavior of functions analytic in a disk;Lohwater, A. J.;Ann. Acad. Sci. Fenn. Ser. A. I.,1957

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