Interpolating sequences in the ball of Cn

Éric Amar

doi:10.1007/BF02384486

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Home > Journals > Ark. Mat. > Volume 38 > Issue 1 > Article

March 2000 Interpolating sequences in the ball of Cⁿ

Éric Amar

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Éric Amar¹
¹Université de Bordeaux I Mathematiques

Ark. Mat. 38(1): 1-20 (March 2000). DOI: 10.1007/BF02384486

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Abstract

LetB be the unit ball of Cⁿ, I give necessary conditions on sequence S of points in B to be H^∞(B) interpolating in term of a Cⁿ valued holomorphic function zero on S (a substitute for the interpolating Blaschke product).

These conditions are sufficient to prove that the sequence S is interpolating for ∩_p>1 (B) and is also interpolating for H^p(B) for 1≤p<∞.