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Sum of two inner functions and exposed points in H1
Published online by Cambridge University Press: 20 January 2009
Extract
If h is an outer function in H1 then it is shown that h = (q1 + q2)g where both q1 and q2 are inner functions with Im almost everywhere, and g is a strong outer function (equivalently, g/∥g∥1 is an exposed point of the unit ball of H1). If q1 + q2 is nonconstant then such an h is not strongly outer. Moreover a sum of two inner functions is studied.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 3 , October 1992 , pp. 349 - 357
- Copyright
- Copyright © Edinburgh Mathematical Society 1992
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