Repositorio Dspace

A(-infinity)-interpolation in the ball

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

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Nombre: artconlli_a1998_massaneda_xavier_interpolation.pdf
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Formato: PDF
Enllaç permanent: http://hdl.handle.net/10854/2022
 
Versió de l'editor: https://doi.org/10.1017/S0013091500019702
 

Resumen

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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(c) Cambridge University Press
 
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Citación Bibliográfica:

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