Interpolating sequences in the ball ofC
n |
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Authors: | Éric Amar |
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Institution: | (1) Université de Bordeaux I Mathematiques, 351 Cours de la Libération, FR-33405 Talence, France |
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Abstract: | LetB be the unit ball ofC
n
, I give necessary conditions on sequenceS of points inB to beH
∞(B) interpolating in term of aC
n
valued holomorphic function zero onS (a substitute for the interpolating Blaschke product).
These conditions are sufficient to prove that the sequenceS is interpolating for ∩
p>1
(B) and is also interpolating forH
p
(B) for 1≤p<∞. |
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Keywords: | |
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