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# $Q_p$ spaces on Riemann surfaces

Published:1998-06-01
Printed: Jun 1998
• Yuzan He
• Juha Ristioja
• Ruhan Zhao
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## Abstract

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 - Bloch functions, normal functions, normal families 30D50 - Blaschke products, bounded mean oscillation, bounded characteristic, bounded functions, functions with positive real part30F35 - Fuchsian groups and automorphic functions [See also 11Fxx, 20H10, 22E40, 32Gxx, 32Nxx]