Noncommutative weak Orlicz spaces and martingale inequalities

• Autorzy: Turdebek N. Bekjan , Zeqian Chen , Peide Liu , Yong Jiao
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 60G42: Martingales with discrete parameter

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2011
• Tom: 204
• Numer: 3
• Strony: 195-212

Daty

wydano

2011

Twórcy

autor

Turdebek N. Bekjan

• College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China

autor

Zeqian Chen

• Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, West District 30, Xiao-Hong-Shan, Wuhan 430071, China

autor

Peide Liu

• School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

autor

Yong Jiao

• Institute of Probability and Statistics, Central South University, Changsha 410075, China

Identyfikatory

DOI

10.4064/sm204-3-1