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On VMOA for Riemann Surfaces
Published online by Cambridge University Press: 20 November 2018
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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
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- Copyright © Canadian Mathematical Society 1988
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