On introduit des fonctions carrées adaptées à l'étude des opérateurs sectoriels sur les espaces Lp non commutatifs, et on étudie leurs relations avec le calcul fonctionnel H∞.
We introduce suitable square functions for sectorial operators on noncommutative Lp-spaces, and we investigate their relationships with H∞ functional calculus.
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@article{CRMATH_2003__337_2_93_0,
author = {Junge, Marius and Le Merdy, Christian and Xu, Quanhua},
title = {Calcul fonctionnel et fonctions carr\'ees dans les espaces {\protect\emph{L}\protect\textsuperscript{\protect\emph{p}}} non commutatifs},
journal = {Comptes Rendus. Math\'ematique},
pages = {93--98},
publisher = {Elsevier},
volume = {337},
number = {2},
year = {2003},
doi = {10.1016/S1631-073X(03)00276-0},
language = {fr},
url = {http://www.numdam.org/articles/10.1016/S1631-073X(03)00276-0/}
}
TY - JOUR AU - Junge, Marius AU - Le Merdy, Christian AU - Xu, Quanhua TI - Calcul fonctionnel et fonctions carrées dans les espaces Lp non commutatifs JO - Comptes Rendus. Mathématique PY - 2003 SP - 93 EP - 98 VL - 337 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/S1631-073X(03)00276-0/ DO - 10.1016/S1631-073X(03)00276-0 LA - fr ID - CRMATH_2003__337_2_93_0 ER -
%0 Journal Article %A Junge, Marius %A Le Merdy, Christian %A Xu, Quanhua %T Calcul fonctionnel et fonctions carrées dans les espaces Lp non commutatifs %J Comptes Rendus. Mathématique %D 2003 %P 93-98 %V 337 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/S1631-073X(03)00276-0/ %R 10.1016/S1631-073X(03)00276-0 %G fr %F CRMATH_2003__337_2_93_0
Junge, Marius; Le Merdy, Christian; Xu, Quanhua. Calcul fonctionnel et fonctions carrées dans les espaces Lp non commutatifs. Comptes Rendus. Mathématique, Tome 337 (2003) no. 2, pp. 93-98. doi : 10.1016/S1631-073X(03)00276-0. http://www.numdam.org/articles/10.1016/S1631-073X(03)00276-0/
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