Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 31-34
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V. I. Vasyunin. Restrictions of bounded analytic functions to a finite union of Carleson sets. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 31-34. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a3/
@article{ZNSL_1983_126_a3,
author = {V. I. Vasyunin},
title = {Restrictions of bounded analytic functions to a~finite union of {Carleson} sets},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {31--34},
year = {1983},
volume = {126},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a3/}
}
TY - JOUR
AU - V. I. Vasyunin
TI - Restrictions of bounded analytic functions to a finite union of Carleson sets
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 31
EP - 34
VL - 126
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a3/
LA - ru
ID - ZNSL_1983_126_a3
ER -
%0 Journal Article
%A V. I. Vasyunin
%T Restrictions of bounded analytic functions to a finite union of Carleson sets
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 31-34
%V 126
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a3/
%G ru
%F ZNSL_1983_126_a3
Restriction of Hardy class $H^\infty$ to a union $\Lambda$ of $n$ Carleson sets is exactly the space of all functions on $\Lambda$ that have uniformly bounded divided difference (with respect to hyperbolic metric) of the order less than $n$.
