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Universal functions in several complex variables

Published online by Cambridge University Press:  09 April 2009

P. S. Chee
P. S. Chee
Affiliation:
Department of Mathematics University of MalayaKuala Lumpur Malaysia
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Abstract

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It is proved that there exists a universal good inner function in the open unit polydisc Un, that is its non Euclidean translates are dense in the closed unit ball of H∞ (Un) and that there exists a universal function in the open unit ball Bn of Cn. These generalize Heins' result on universal Blaschke products.

1980 Mathematics subject classification (Amer. Math. Soc.): primary 32 A 10.

Keywords

Polydiscballholomorphic automorphismbounded holomporphic functionuniversal Blaschke productuniversal inner function.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 28 , Issue 2 , September 1979 , pp. 189 - 196
Copyright
Copyright © Australian Mathematical Society 1979

References

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