Displaying similar documents to “Disks extremal with respect to interpolation constants.”

Generalized interpolation in the unit ball.

Nicolas Marco (2001)

Publicacions Matemàtiques

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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...

Weak conditions for interpolation in holomorphic spaces.

Alexander P Schuster, Kristian Seip (2000)

Publicacions Matemàtiques

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An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in L spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such L space (0 < p < ∞), then it...

Continuity and convergence properties of extremal interpolating disks.

Pascal J. Thomas (1995)

Publicacions Matemàtiques

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Let a be a sequence of points in the unit ball of Cn. Eric Amar and the author have introduced the nonnegative quantity ρ(a) = infα infk Πj:j≠k dG(αj, αk), where dG is the Gleason distance in the unit disk and the first infimum is taken over all sequences α in the unit disk which map to a by a map from the disk to the ball. ...