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 language | English |
|---|---|
| Pages (from-to) | 405-420 |
| Number of pages | 16 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 39 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 1989 |