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Inner functions and the maximal ideal space of L∞(Tn)
Published online by Cambridge University Press: 09 April 2009
Abstract
Let Un be the unit polydisc in Cn and let Tn be its distinguished boundary. It is shown that a function f ∈ H∞(Un) is inner if and only if ∣f(Φ)∣ = 1 for all Φ in the maximal ideal space of L∞(Tn). This generalizes a result of Csordas.
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- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 26 , Issue 2 , September 1978 , pp. 175 - 178
- Copyright
- Copyright © Australian Mathematical Society 1978
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