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A–∞-interpolation in the ball

Published online by Cambridge University Press:  20 January 2009

Xavier Massaneda
Xavier Massaneda
Affiliation:
Departament de Matemàtiques i Informàtica, Estudis Universitari de Vic, Carrer de Miramarges 4, 08500-Vic, Spain
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Abstract

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We give a necessary and sufficient condition for a sequence {ak}k in the unit ball of ℂn to be interpolating for the class A–∞ of holomorphic functions with polynomial growth. The condition, which goes along the lines of the ones given by Berenstein and Li for some weighted spaces of entire functions and by Amar for H∞ functions in the ball, is given in terms of the derivatives of m ≥ n functions F1, …,Fm ∈ A–∞ vanishing on {ak}k.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 2 , June 1998 , pp. 359 - 367
Copyright
Copyright © Edinburgh Mathematical Society 1998

References

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