Matematičeskie zametki, Tome 8 (1970) no. 5, pp. 595-606
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V. A. Il'in. Conditions for the localization of partial sums of S. M. Nikol'skii's class of multiple trigonometric Fourier series. Matematičeskie zametki, Tome 8 (1970) no. 5, pp. 595-606. http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a6/
@article{MZM_1970_8_5_a6,
author = {V. A. Il'in},
title = {Conditions for the localization of partial sums of {S.} {M.~Nikol'skii's} class of multiple trigonometric {Fourier} series},
journal = {Matemati\v{c}eskie zametki},
pages = {595--606},
year = {1970},
volume = {8},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a6/}
}
TY - JOUR
AU - V. A. Il'in
TI - Conditions for the localization of partial sums of S. M. Nikol'skii's class of multiple trigonometric Fourier series
JO - Matematičeskie zametki
PY - 1970
SP - 595
EP - 606
VL - 8
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a6/
LA - ru
ID - MZM_1970_8_5_a6
ER -
%0 Journal Article
%A V. A. Il'in
%T Conditions for the localization of partial sums of S. M. Nikol'skii's class of multiple trigonometric Fourier series
%J Matematičeskie zametki
%D 1970
%P 595-606
%V 8
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1970_8_5_a6/
%G ru
%F MZM_1970_8_5_a6
Best-possible conditions, in S. M. Nikol'skii's classes $H^\alpha_p$, are established for the localization of rectangular (or, as they are sometimes called, Pringsheim) partial sums of multiple trigonometric Fourier series.
