Geodesic
Free interpolation in the spaces of analytic functions with derivative of order~$s$ in a~Hardy space
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 31, Tome 303 (2003), pp. 169-202

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We consider the problem of free interpolation for the spaces of analytic functions with derivative of order $s$ in the Hardy space $H^p$. For the sets that satisfy the Stolz condition, we obtain a condition necessary for interpolation: if $1\leq p\infty$, then the set must be a union of $s$ sparse sets. For $p=\infty$, we obtain a necessary and sufficient condition for interpolation: the set must be a union of $s+1$ sparse sets. In this case, we construct an extension operator. 
@article{ZNSL_2003_303_a9,
     author = {A. M. Kotochigov},
     title = {Free interpolation in the spaces of analytic functions with derivative of order~$s$ in {a~Hardy} space},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {169--202},
     publisher = {mathdoc},
     volume = {303},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_303_a9/}
}
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A. M. Kotochigov. Free interpolation in the spaces of analytic functions with derivative of order~$s$ in a~Hardy space. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 31, Tome 303 (2003), pp. 169-202. http://geodesic.mathdoc.fr/item/ZNSL_2003_303_a9/