Geodesic
Noncommutative weak Orlicz spaces and martingale inequalities
Turdebek N. Bekjan1 ; Zeqian Chen2 ; Peide Liu3 ; Yong Jiao4
1 College of Mathematics and Systems Science Xinjiang University Urumqi 830046, China
2 Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences West District 30 Xiao-Hong-Shan, Wuhan 430071, China
3 School of Mathematics and Statistics Wuhan University Wuhan 430072, China
4 Institute of Probability and Statistics Central South University Changsha 410075, China
Studia Mathematica, Tome 204 (2011) no. 3, pp. 195-212

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\varPhi $-moment Burkholder–Gundy inequality for noncommutative martingales through establishing a weak type $\varPhi $-moment noncommutative Khinchin inequality for Rademacher random variables.
DOI : 10.4064/sm204-3-1
Keywords: paper devoted study noncommutative weak orlicz spaces martingale inequalities marcinkiewicz interpolation theorem extended include noncommutative weak orlicz spaces interpolation classes application prove weak type varphi moment burkholder gundy inequality noncommutative martingales through establishing weak type varphi moment noncommutative khinchin inequality rademacher random variables

Turdebek N. Bekjan 1 ; Zeqian Chen 2 ; Peide Liu 3 ; Yong Jiao 4

1 College of Mathematics and Systems Science Xinjiang University Urumqi 830046, China
2 Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences West District 30 Xiao-Hong-Shan, Wuhan 430071, China
3 School of Mathematics and Statistics Wuhan University Wuhan 430072, China
4 Institute of Probability and Statistics Central South University Changsha 410075, China 
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Turdebek N. Bekjan; Zeqian Chen; Peide Liu; Yong Jiao. Noncommutative weak Orlicz spaces and
 martingale inequalities. Studia Mathematica, Tome 204 (2011) no. 3, pp. 195-212. doi: 10.4064/sm204-3-1

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