Free interpolation in Bergman spaces
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XI, Tome 113 (1981), pp. 208-211
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A series of conditions is given, imposed on a subset $\Lambda$ of the unit disk $\mathbb D$, sufficient that the collection of all restrictions to the set $\Lambda$ of functions from the Bergman space $\mathscr A^p_\alpha$ be naturally isomorphic with the space $l^p(\Lambda)$.
@article{ZNSL_1981_113_a10,
author = {S. A. Vinogradov},
title = {Free interpolation in {Bergman} spaces},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {208--211},
publisher = {mathdoc},
volume = {113},
year = {1981},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1981_113_a10/}
}
S. A. Vinogradov. Free interpolation in Bergman spaces. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XI, Tome 113 (1981), pp. 208-211. http://geodesic.mathdoc.fr/item/ZNSL_1981_113_a10/