A nonnormal outer function in 
Authors:
Leon Brown and Lowell Hansen
Journal:
Proc. Amer. Math. Soc. 34 (1972), 175-176
MSC:
Primary 30A78
DOI:
https://doi.org/10.1090/S0002-9939-1972-0291470-3
MathSciNet review:
0291470
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we construct an outer function in 
for all p which is not normal.
- [1] Peter L. Duren, Theory of 𝐻^{𝑝} spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York-London, 1970. MR 0268655
- [2] Peter Lappan, Non-normal sums and products of unbounded normal functions, Michigan Math. J. 8 (1961), 187–192. MR 131554
- [3] Olli Lehto and K. I. Virtanen, Boundary behaviour and normal meromorphic functions, Acta Math. 97 (1957), 47–65. MR 87746, https://doi.org/10.1007/BF02392392
spaces, Pure and Appl. Math., vol. 38, Academic Press, New York, 1970. MR 42 #3552. Retrieve articles in Proceedings of the American Mathematical Society with MSC: 30A78
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0291470-3
Keywords:
Normal functions,
outer functions in 
Article copyright:
© Copyright 1972
American Mathematical Society
