Geodesic
Interpolation of bounded sequences
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 2, pp. 513-516 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     zbl = {1224.30175},
     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/

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