Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 685-695
Citer cet article
V. G. Krotov. Unconditional convergence of Fourier series with respect to the Haar system in the spaces $\Lambda_\omega^p$. Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 685-695. http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a4/
@article{MZM_1978_23_5_a4,
author = {V. G. Krotov},
title = {Unconditional convergence of {Fourier} series with respect to the {Haar} system in the spaces $\Lambda_\omega^p$},
journal = {Matemati\v{c}eskie zametki},
pages = {685--695},
year = {1978},
volume = {23},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a4/}
}
TY - JOUR
AU - V. G. Krotov
TI - Unconditional convergence of Fourier series with respect to the Haar system in the spaces $\Lambda_\omega^p$
JO - Matematičeskie zametki
PY - 1978
SP - 685
EP - 695
VL - 23
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a4/
LA - ru
ID - MZM_1978_23_5_a4
ER -
%0 Journal Article
%A V. G. Krotov
%T Unconditional convergence of Fourier series with respect to the Haar system in the spaces $\Lambda_\omega^p$
%J Matematičeskie zametki
%D 1978
%P 685-695
%V 23
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a4/
%G ru
%F MZM_1978_23_5_a4
Criteria for a Haar system to be a basic system and an unconditional basic system in the spaces $$ \Lambda_\omega^p=\{f\in L^p: \omega_p(\delta, f)=O\{\omega(\delta)\}\}, $$ where $1 and $\omega$ is a modulus of continuity, are proved.
