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On Classes 
for Hyperbolic Riemann Surfaces
Published online by Cambridge University Press: 20 November 2018
Abstract
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The
${{Q}_{p}}$
spaces of holomorphic functions on the disk, hyperbolic Riemann surfaces or complex unit ball have been studied deeply. Meanwhile, there are a lot of papers devoted to the
$Q_{p}^{\#}$
classes of meromorphic functions on the disk or hyperbolic Riemann surfaces. In this paper, we prove the nesting property (inclusion relations) of
$Q_{p}^{\#}$
classes on hyperbolic Riemann surfaces. The same property for
${{Q}_{p}}$
spaces was also established systematically and precisely in earlier work by the authors of this paper.
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- Copyright © Canadian Mathematical Society 2016
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