Matematičeskie zametki, Tome 15 (1974) no. 1, pp. 63-71
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A. S. Krantsberg. Rearrangements of the Haar system. Matematičeskie zametki, Tome 15 (1974) no. 1, pp. 63-71. http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a6/
@article{MZM_1974_15_1_a6,
author = {A. S. Krantsberg},
title = {Rearrangements of the {Haar} system},
journal = {Matemati\v{c}eskie zametki},
pages = {63--71},
year = {1974},
volume = {15},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a6/}
}
TY - JOUR
AU - A. S. Krantsberg
TI - Rearrangements of the Haar system
JO - Matematičeskie zametki
PY - 1974
SP - 63
EP - 71
VL - 15
IS - 1
UR - http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a6/
LA - ru
ID - MZM_1974_15_1_a6
ER -
%0 Journal Article
%A A. S. Krantsberg
%T Rearrangements of the Haar system
%J Matematičeskie zametki
%D 1974
%P 63-71
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/MZM_1974_15_1_a6/
%G ru
%F MZM_1974_15_1_a6
It is proved that any fixed rearrangement of the Haar system either is or is not a system of convergence almost everywhere simultaneously for all classes $L^p[0,1]$ ($1\le p\le\infty$).