Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 35-46
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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/
@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},
year = {1983},
volume = {126},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a4/}
}
TY - JOUR
AU - S. A. Vinogradov
TI - Some remarks on free interpolation by bounded and slowly growing analytic functions
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 35
EP - 46
VL - 126
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a4/
LA - ru
ID - ZNSL_1983_126_a4
ER -
%0 Journal Article
%A S. A. Vinogradov
%T Some remarks on free interpolation by bounded and slowly growing analytic functions
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 35-46
%V 126
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a4/
%G ru
%F ZNSL_1983_126_a4
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.
