Besov-type characterisations for the Bloch space

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Abstract

We will prove local and global Besov-type characterisations for the Bloch space and the little Bloch space. As a special case we obtain that the Bloch space consists of those analytic functions on the unit disc whose restrictions to pseudo-hyperbolic discs (of fixed pseudo-hyperbolic radius) uniformly belong to the Besov space. We also generalise the results to Bloch functions and little Bloch functions on the unit ball in [formula omitted]. Finally we discuss the related spaces BMOA and VMOA.

Original languageEnglish
Pages (from-to)405-420
Number of pages16
JournalBulletin of the Australian Mathematical Society
Volume39
Issue number3
DOIs
StatePublished - Jun 1989

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