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A(-infinity)-interpolation in the ball

A(-infinity)-interpolation in the ball
 
Massaneda Clares, Xavier
1998

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Enllaç permanent: http://hdl.handle.net/10854/2022
 
Versió de l'editor: https://doi.org/10.1017/S0013091500019702
 

Abstract

We give a necessary and sufficient condition for a sequence [ak}k in the unit ball of C° 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 ...»»»»
We give a necessary and sufficient condition for a sequence [ak}k in the unit ball of C° 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 F Fm e A~°° vanishing on {ak)k.^^^^

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Conference object

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(c) Cambridge University Press
 
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Citation:

MASSANEDA CLARES, Xavier. "A(-infinity)-interpolation in the ball". A: Proceedings of the Edinburgh Mathematical Society, 1998, vol. 41, pàg. 359-367.