Some remarks on free interpolation by bounded and slowly growing analytic functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 35-46
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A new bounded linear operator solving the problem of free interpolation in $H^\infty$ is constructed. This operator is a modification of Jones formula. Its main advantage is the applicability to interpolation in various subclasses of $H^\infty$. A theorem connecting Hermite interpolation with Lagrange interpolation is proved.
@article{ZNSL_1983_126_a4,
author = {S. A. Vinogradov},
title = {Some remarks on free interpolation by bounded and slowly growing analytic functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {35--46},
publisher = {mathdoc},
volume = {126},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a4/}
}
S. A. Vinogradov. Some remarks on free interpolation by bounded and slowly growing analytic functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 35-46. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a4/