Noncommutative weak Orlicz spaces and martingale inequalities

Turdebek N. Bekjan, et al. "Noncommutative weak Orlicz spaces and martingale inequalities." Studia Mathematica 204.3 (2011): 195-212. <http://eudml.org/doc/285771>.

@article{TurdebekN2011,
abstract = {This paper is devoted to the study of noncommutative weak Orlicz spaces and martingale inequalities. The Marcinkiewicz interpolation theorem is extended to include noncommutative weak Orlicz spaces as interpolation classes. As an application, we prove the weak type Φ-moment Burkholder-Gundy inequality for noncommutative martingales through establishing a weak type Φ-moment noncommutative Khinchin inequality for Rademacher random variables.},
author = {Turdebek N. Bekjan, Zeqian Chen, Peide Liu, Yong Jiao},
journal = {Studia Mathematica},
keywords = {von Neumann algebra; noncommutative -space; noncommutative weak Orlicz space; Marcinkiewicz interpolation; noncommutative martingale; weak -moment Burkholder-Gundy inequality; weak -moment Khinchin inequality},
language = {eng},
number = {3},
pages = {195-212},
title = {Noncommutative weak Orlicz spaces and martingale inequalities},
url = {http://eudml.org/doc/285771},
volume = {204},
year = {2011},
}

TY - JOUR
AU - Turdebek N. Bekjan
AU - Zeqian Chen
AU - Peide Liu
AU - Yong Jiao
TI - Noncommutative weak Orlicz spaces and martingale inequalities
JO - Studia Mathematica
PY - 2011
VL - 204
IS - 3
SP - 195
EP - 212
AB - This paper is devoted to the study of noncommutative weak Orlicz spaces and martingale inequalities. The Marcinkiewicz interpolation theorem is extended to include noncommutative weak Orlicz spaces as interpolation classes. As an application, we prove the weak type Φ-moment Burkholder-Gundy inequality for noncommutative martingales through establishing a weak type Φ-moment noncommutative Khinchin inequality for Rademacher random variables.
LA - eng
KW - von Neumann algebra; noncommutative -space; noncommutative weak Orlicz space; Marcinkiewicz interpolation; noncommutative martingale; weak -moment Burkholder-Gundy inequality; weak -moment Khinchin inequality
UR - http://eudml.org/doc/285771
ER -