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Arkiv för Matematik

, Volume 38, Issue 1, pp 1–20 | Cite as

Interpolating sequences in the ball ofC n

  • Éric Amar
Article
  • 32 Downloads

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<∞.

Keywords

Holomorphic Function Unit Ball Blaschke Product Interpolate Blaschke Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Institut Mittag-Leffler 2000

Authors and Affiliations

  • Éric Amar
    • 1
  1. 1.Université de Bordeaux I MathematiquesTalenceFrance

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