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Inclusion Relations for New Function Spaces on Riemann Surfaces

Published online by Cambridge University Press:  20 November 2018

Rauno Aulaskari  and
Jouni Rättyä
Rauno Aulaskari
Affiliation:
University of Eastern Finland, Department of Physics and Mathematics, 80101 Joensuu, Finland e-mail: rauno.aulaskari@uef.fijouni.rattya@uef.fi
Jouni Rättyä
Affiliation:
University of Eastern Finland, Department of Physics and Mathematics, 80101 Joensuu, Finland e-mail: rauno.aulaskari@uef.fijouni.rattya@uef.fi
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Abstract.

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We introduce and study some new function spaces on Riemann surfaces. For certain parameter values these spaces coincide with the classical Dirichlet space, $\text{BMOA}$, or the recently defined ${{\text{Q}}_{p}}$ space. We establish inclusion relations that generalize earlier known inclusions between the above-mentioned spaces.

Keywords

0F3530H2530H30Bloch spaceBMOAQpGreen's functionhyperbolic Riemann surface
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 3 , 01 September 2013 , pp. 466 - 476
Copyright
Copyright © Canadian Mathematical Society 2013

References

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