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On VMOA for Riemann Surfaces

Published online by Cambridge University Press:  20 November 2018

Rauno Aulaskari
Rauno Aulaskari*
Affiliation:
University of Joensuu, Joensuu, Finland
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Let Δ = {z│ │z│ < 1} be the unit disk and f an analytic function in Δ. The Dirichlet integral DΔ(f) of f on Δ is defined by

and we denote by AD(Δ) the space of all functions f analytic on Δ for which DΔ(f) < ∞. We denote by BMOA(Δ) the space of analytic functions f in Δ for which

and by VMOA(Δ) the space of those analytic functions f in BMOA(Δ) satisfying the condition

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 40 , Issue 5 , 01 October 1988 , pp. 1174 - 1185
Copyright
Copyright © Canadian Mathematical Society 1988

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