caa a22 4500 477094538 CHVBK 20180405111524.0 cr unu---uuuuu 170330e19960501xx s 000 0 eng 10.1007/BF03322219 doi (NATIONALLICENCE)springer-10.1007/BF03322219 BMOA ( R , m ) and capacity density Bloch spaces on hyperbolic Riemann surfaces [Elektronische Daten] [Rauno Aulaskari, Peter Lappan, Jie Xiao, Ruhan Zhao] We investigate a number of spaces of functions on Riemann surfaces which are related to Bloch spaces and functions of bounded mean oscillation (BMO). These spaces are defined using properties for the corresponding function spaces on the unit disk in the complex plane, and we show that, in general, different properties lead to different function spaces. We catalogue almost completely the various relationships between these spaces. Birkhäuser Verlag, Basel, 1996 Bloch space nationallicence little Bloch space nationallicence hyperbolic distance nationallicence Green's function nationallicence Aulaskari Rauno Department of Mathematics, University of Joensuu, Joensuu 10, FIN 80101, Finland aut Lappan Peter Department of Mathematics, Peking University, 100871, Beijing, P.R. China aut Xiao Jie Department of Mathematics, Michigan State University, 48824, East Lansing, MI, USA aut Zhao Ruhan Wuhan Inst. of Mathematical Sciences, Academia Sinica, P.O. Box 71007, 430071, Wuhan, P R China aut Results in Mathematics Birkhäuser-Verlag 29/3-4(1996-05-01), 203-226 0378-6218 29:3-4<203 1996 29 25 https://doi.org/10.1007/BF03322219 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF03322219 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aulaskari Rauno Department of Mathematics, University of Joensuu, Joensuu 10, FIN 80101, Finland aut NATIONALLICENCE 700 1- Lappan Peter Department of Mathematics, Peking University, 100871, Beijing, P.R. China aut NATIONALLICENCE 700 1- Xiao Jie Department of Mathematics, Michigan State University, 48824, East Lansing, MI, USA aut NATIONALLICENCE 700 1- Zhao Ruhan Wuhan Inst. of Mathematical Sciences, Academia Sinica, P.O. Box 71007, 430071, Wuhan, P R China aut NATIONALLICENCE 773 0- Results in Mathematics Birkhäuser-Verlag 29/3-4(1996-05-01), 203-226 0378-6218 29:3-4<203 1996 29 25 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer