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.^^^^
Tipus:
Conferència
Drets:
(c) Cambridge University Press
Tots els drets reservats
Citació Bibliogràfica:
MASSANEDA CLARES, Xavier. "A(-infinity)-interpolation in the ball". A: Proceedings of the Edinburgh Mathematical Society, 1998, vol. 41, pàg. 359-367.