Geodesic
The interpolation of $l^r$ sequences by $H^p$ functions
Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 503-508 
S. V. Shvedenko. The interpolation of $l^r$ sequences by $H^p$ functions. Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 503-508. http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a6/
@article{MZM_1977_21_4_a6,
     author = {S. V. Shvedenko},
     title = {The interpolation of $l^r$ sequences by $H^p$ functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {503--508},
     year = {1977},
     volume = {21},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a6/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The sequence space $H^p(Z)=\{\{f(z_k)\}:f\in H^p\}$ is defined for a fixed sequence $Z=\{z_k\}$ of different points of the open unit disk and the Hardy class $H^p$ of analytic functions in the disk. For an arbitrary p $p\in[1,\infty)$ is constructed a point sequence $Z=\{z_k\}$ such that $l^1\subset H^p(Z)$, but $l^r\not\subset H^p(Z)$ for $r>1$. It follows from a well-known result of L. Carleson that the inclusions $l^r\subset H^\infty(Z)$ for all $r\in[1,\infty]$ are equivalent.