Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 537-548
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A. M. Shikhvatov. $L_p$-spaces of functions analytic in a region with piecewise analytic boundary. Matematičeskie zametki, Tome 20 (1976) no. 4, pp. 537-548. http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a8/
@article{MZM_1976_20_4_a8,
author = {A. M. Shikhvatov},
title = {$L_p$-spaces of functions analytic in a~region with piecewise analytic boundary},
journal = {Matemati\v{c}eskie zametki},
pages = {537--548},
year = {1976},
volume = {20},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a8/}
}
TY - JOUR
AU - A. M. Shikhvatov
TI - $L_p$-spaces of functions analytic in a region with piecewise analytic boundary
JO - Matematičeskie zametki
PY - 1976
SP - 537
EP - 548
VL - 20
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a8/
LA - ru
ID - MZM_1976_20_4_a8
ER -
%0 Journal Article
%A A. M. Shikhvatov
%T $L_p$-spaces of functions analytic in a region with piecewise analytic boundary
%J Matematičeskie zametki
%D 1976
%P 537-548
%V 20
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1976_20_4_a8/
%G ru
%F MZM_1976_20_4_a8
In this paper we study classes of analytic functions which are $p$-th power summable in a region with piecewise analytic boundary. We also study the spaces conjugate to these spaces and the question of the existence of a basis in these spaces.