We study the function spaces $Q_p(R)$ defined on a Riemann surface $R$, which were earlier introduced in the unit disk of the complex plane. The nesting property $Q_p(R)\subseteq Q_q(R)$ for $0

MSC Classifications:

30D45, 30D50, 30F35 show english descriptions Bloch functions, normal functions, normal families
Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part
Fuchsian groups and automorphic functions [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx] 30D45 - Bloch functions, normal functions, normal families
30D50 - Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part
30F35 - Fuchsian groups and automorphic functions [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx]

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