Geodesic
The range of a continuous linear functional over a class of functions defined by subordination
Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 381-387

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

Let Δ = {z ∈ C ⃒ ⃓z⃓ <1) and H(Δ) the set of analytic functions on Δ. We recall the definition of subordination between two functions, say ƒ and g, analytic on Δ: this means that f(0)= g(0) and there is a function ρ ∈ H (Δ) such that ρ(0) = 0, ⃒ ρ(z)⃒<1 if z ∈ Δ, and f(z) ≡ g(ρ(z)). Subordination between f and g will be denoted byf<g. The Hadamard product (or convolution) of two functions and in H(Δ)is the function f * g ∈ H(Δ)definedas f * g (z)= . 
Fournier, Richard. The range of a continuous linear functional over a class of functions defined by subordination. Glasgow mathematical journal, Tome 32 (1990) no. 3, pp. 381-387. doi: 10.1017/S0017089500009472
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