Geodesic
On VMOA for Riemann Surfaces
Canadian journal of mathematics, Tome 40 (1988) no. 5, pp. 1174-1185

Voir la notice de l'article provenant de la source Cambridge University Press

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 
Aulaskari, Rauno. On VMOA for Riemann Surfaces. Canadian journal of mathematics, Tome 40 (1988) no. 5, pp. 1174-1185. doi: 10.4153/CJM-1988-049-9
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