A factorization theorem in 𝐻¹(𝑈³)

Miles, Joseph

doi:10.1090/S0002-9939-1975-0374459-8

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 2020 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 factorization theorem in $H^{1}(U^{3})$
HTML articles powered by AMS MathViewer

by Joseph Miles PDF

Proc. Amer. Math. Soc. 52 (1975), 319-322 Request permission

Abstract:

It is shown that there exists $f\epsilon {H^1}({U^3})$ which is not the product of two functions in ${H^2}({U^3})$. This partially answers a question posed by W. Rudin.

References

Walter Rudin, Zeros and factorizations of holomorphic functions, Bull. Amer. Math. Soc. 72 (1966), 1064–1067. MR 197771, DOI 10.1090/S0002-9904-1966-11647-6
Walter Rudin, Function theory in polydiscs, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0255841