caa a22 4500 386360561 CHVBK 20180307111913.0 cr unu---uuuuu 161130e198906 xx s 000 0 eng 10.1017/S0004972700003324 doi S0004972700003324 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700003324 Stroethoff Karel Department of Mathematical Sciences, University of Montana, Missoula, Montana 59801, United States of America. Besov-type characterisations for the Bloch space [Elektronische Daten] [Karel Stroethoff] 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 . Finally we discuss the related spaces BMOA and VMOA. Copyright © Australian Mathematical Society 1989 Bulletin of the Australian Mathematical Society Cambridge University Press 39/3(1989-06), 405-420 0004-9727 39:3<405 1989 39 BAZ https://doi.org/10.1017/S0004972700003324 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700003324 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Stroethoff Karel Department of Mathematical Sciences, University of Montana, Missoula, Montana 59801, United States of America NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 39/3(1989-06), 405-420 0004-9727 39:3<405 1989 39 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge