A nonnormal outer function in 𝐻^{𝑝}

Brown, Leon; Hansen, Lowell

doi:10.1090/S0002-9939-1972-0291470-3

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

A nonnormal outer function in $H^{p}$
HTML articles powered by AMS MathViewer

by Leon Brown and Lowell Hansen

Proc. Amer. Math. Soc. 34 (1972), 175-176

DOI: https://doi.org/10.1090/S0002-9939-1972-0291470-3

PDF | Request permission

Abstract:

In this paper we construct an outer function in ${H^p}$ for all p which is not normal.

References

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 10.1007/BF02392392