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Generalized interpolation in the unit ball.

Nicolas Marco — 2001

Publicacions Matemàtiques

We study a generalized interpolation problem for the space H(B) of bounded homomorphic functions in the ball B. A sequence Z = {z} of B is an interpolating sequence of order 1 if for all sequence of values w satisfying conditions of order 1 (that is discrete derivatives in the pseudohyperbolic metric are bounded) there exists a function f ∈ H(B) such that f(z) = w. These sequences are characterized as unions of 3 free interpolating sequences for H(B) such that all triplets of Z made of 3 nearby...

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