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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

One-sided boundary behavior for certain harmonic functions


Authors: T. K. Boehme and Max L. Weiss
Journal: Proc. Amer. Math. Soc. 27 (1971), 280-288
MSC: Primary 30.85; Secondary 31.00
DOI: https://doi.org/10.1090/S0002-9939-1971-0288293-7
MathSciNet review: 0288293
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Abstract: Some results concerning the maximal ideal space of $ {H^\infty }$ of the disk are applied to harmonic functions. The methods yield a Lindelöf type theorem for harmonic functions and extend to bounded harmonic functions a criterion of Tanaka which is necessary and sufficient in order that the boundary value function be one-sided approximately continuous.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1971-0288293-7
Keywords: Boundary behavior, harmonic functions
Article copyright: © Copyright 1971 American Mathematical Society