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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Radial limits of harmonic functions on the unit disc


Author: Stephen J. Gardiner
Journal: Proc. Amer. Math. Soc. 133 (2005), 1387-1389
MSC (2000): Primary 31A20; Secondary 41A30
Published electronically: November 1, 2004
MathSciNet review: 2111963
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Abstract: This note characterizes those functions on the unit circle that can arise as the radial limit function of a harmonic function on the unit disc.


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Additional Information

Stephen J. Gardiner
Affiliation: Department of Mathematics, University College Dublin, Dublin 4, Ireland
Email: stephen.gardiner@ucd.ie

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07734-2
PII: S 0002-9939(04)07734-2
Received by editor(s): January 2, 2004
Published electronically: November 1, 2004
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2004 American Mathematical Society