A nonnormal outer function in $H^{p}$
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 ${H^p}$ for all p which is not normal.
- Peter L. Duren, Theory of $H^{p}$ spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York-London, 1970. MR 0268655
- Peter Lappan, Non-normal sums and products of unbounded normal functions, Michigan Math. J. 8 (1961), 187–192. MR 131554
- Olli Lehto and K. I. Virtanen, Boundary behaviour and normal meromorphic functions, Acta Math. 97 (1957), 47–65. MR 87746, DOI https://doi.org/10.1007/BF02392392
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Keywords:
Normal functions,
outer functions in <IMG WIDTH="33" HEIGHT="20" ALIGN="BOTTOM" BORDER="0" SRC="images/img1.gif" ALT="${H^p}$">
Article copyright:
© Copyright 1972
American Mathematical Society
