Geodesic
Interpolation of bounded sequences
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 513-516

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This paper deals with an interpolation problem in the open unit disc $\mathbb D$ of the complex plane. We characterize the sequences in a Stolz angle of $\mathbb D $, verifying that the bounded sequences are interpolated on them by a certain class of not bounded holomorphic functions on $\mathbb D $, but very close to the bounded ones. We prove that these interpolating sequences are also uniformly separated, as in the case of the interpolation by bounded holomorphic functions.
Classification : 30D50, 30E05, 41A05
Keywords: interpolating sequence; Carleson's theorem; uniformly separated; Blaschke product; Lipschitz class 
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     author = {Tugores, Francesc},
     title = {Interpolation of bounded sequences},
     journal = {Czechoslovak Mathematical Journal},
     pages = {513--516},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a15/}
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Tugores, Francesc. Interpolation of bounded sequences. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 513-516. http://geodesic.mathdoc.fr/item/CMJ_2010__60_2_a15/