Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 180-190
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S. P. Preobrazenskii. A boundary uniqueness theorem for regular functions with bounded integral of Dirichlet type. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part XII, Tome 126 (1983), pp. 180-190. http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a19/
@article{ZNSL_1983_126_a19,
author = {S. P. Preobrazenskii},
title = {A~boundary uniqueness theorem for regular functions with bounded integral of {Dirichlet} type},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {180--190},
year = {1983},
volume = {126},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a19/}
}
TY - JOUR
AU - S. P. Preobrazenskii
TI - A boundary uniqueness theorem for regular functions with bounded integral of Dirichlet type
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1983
SP - 180
EP - 190
VL - 126
UR - http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a19/
LA - ru
ID - ZNSL_1983_126_a19
ER -
%0 Journal Article
%A S. P. Preobrazenskii
%T A boundary uniqueness theorem for regular functions with bounded integral of Dirichlet type
%J Zapiski Nauchnykh Seminarov POMI
%D 1983
%P 180-190
%V 126
%U http://geodesic.mathdoc.fr/item/ZNSL_1983_126_a19/
%G ru
%F ZNSL_1983_126_a19
Closed sets of uniqueness on $\partial U$ for a class of analytical functions in the unit circle $U$ for which $$ \iint_U|f'(z)|^2h(z)\,d\sigma<+\infty. $$ are considered in the paper. The main result of the paper makes it possible to construct rather small closed sets of uniqueness for the class of functions involved.
