caa a22 4500 469068922 CHVBK 20180323132916.0 cr unu---uuuuu 170328e19920201xx s 000 0 eng 10.1007/BF02808014 doi (NATIONALLICENCE)springer-10.1007/BF02808014 Quasi-invariant domain constants [Elektronische Daten] [Reuven Harmelin, David Minda] Five domain constants are studied in our paper, all related to the hyperbolic geometry in hyperbolic plane regions which are uniformly perfect (in Pommerenke's terminology). Relations among these domain constants are obtained, from which bounds are derived for the variance ratio of each constant under conformal mappings of the regions, and we also show that each constant may be used to characterize uniformly perfect regions. Hebrew University, 1992 Harmelin Reuven Department of Mathematics Technion, Israel Institute of Technology, 32000, Haifa, Israel aut Minda David Department of Mathematical Sciences, University of Cincinnati, 45221-0025, Cincinnati, OH, USA aut Israel Journal of Mathematics Springer-Verlag 77/1-2(1992-02-01), 115-127 0021-2172 77:1-2<115 1992 77 11856 https://doi.org/10.1007/BF02808014 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02808014 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Harmelin Reuven Department of Mathematics Technion, Israel Institute of Technology, 32000, Haifa, Israel aut NATIONALLICENCE 700 1- Minda David Department of Mathematical Sciences, University of Cincinnati, 45221-0025, Cincinnati, OH, USA aut NATIONALLICENCE 773 0- Israel Journal of Mathematics Springer-Verlag 77/1-2(1992-02-01), 115-127 0021-2172 77:1-2<115 1992 77 11856 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer