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Characterisations of Bloch functions in the unit ball of ℂn, I
Published online by Cambridge University Press: 17 April 2009
Abstract
Weighted Hadamard product characterisations of Bloch functions in the unit ball of ℂn are studied. In particular, we prove that f belongs to the Bloch space ℬ(Bn) if and only if the non-weighted Hadamard products of f and g belong to BMOA(Un) for all f in , a subspace of the Hardy space H1(Bn).
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 205 - 212
- Copyright
- Copyright © Australian Mathematical Society 2003
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