Geodesic
Free interpolation by functions with~$H^1$ derivative
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 77-87

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Free interpolation sets for the class $H^1_1$ of functions with $H^1$ derivative are described. Traces of $H^1_1$ functions on the interpolation set are characterized in inner terms. This characterization is of Besov type. It includes a special homogeneous measure on a given set; the existence of such a measure is also proved. 
@article{ZNSL_1983_126_a9,
     author = {E. M. Dyn'kin},
     title = {Free interpolation by functions with~$H^1$ derivative},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {77--87},
     publisher = {mathdoc},
     volume = {126},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a9/}
}
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E. M. Dyn'kin. Free interpolation by functions with~$H^1$ derivative. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 77-87. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a9/