Abstract
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.
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Aulaskari, R., Lappan, P., Xiao, J. et al. BMOA(R, m) and capacity density Bloch spaces on hyperbolic Riemann surfaces. Results. Math. 29, 203–226 (1996). https://doi.org/10.1007/BF03322219
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DOI: https://doi.org/10.1007/BF03322219