The Bloch space and Besov spaces of analytic functions

We shall give an elementary proof of a characterisation for the Bloch space due to Holland and Walsh, and obtain analogous characterisations for the little Bloch space and Besov spaces of analytic functions on the unit disk in the complex plane.

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 1996-10, Vol.54 (2), p.211-219
1. Verfasser: Stroethoff, Karel
Format: Artikel
Sprache:eng
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Beschreibung
Zusammenfassung:We shall give an elementary proof of a characterisation for the Bloch space due to Holland and Walsh, and obtain analogous characterisations for the little Bloch space and Besov spaces of analytic functions on the unit disk in the complex plane.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700017676