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Ideals generated by singular inner functions

Published online by Cambridge University Press:  17 April 2009

Michael von Renteln
Michael von Renteln
Affiliation:
Mathematisches Institut der Universität, D-6300 Giessen, West Germany.
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Abstract

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Singular inner functions are in many respects the most important and difficult type of functions in the Banach algebra H∞ of bounded analytic functions in the unit disc. This paper is concerned with ideals generated by singular inner functions. In particular, conditions on the associated measures are given so that the ideal spans the whole algebra H∞. To this end the local boundary behavior of a singular inner function is studied and the results obtained there may be of independent interest.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 21 , Issue 2 , May 1980 , pp. 237 - 252
Copyright
Copyright © Australian Mathematical Society 1980

References

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