Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Burkholder's inequalities in noncommutative Lorentz spaces


Author: Yong Jiao
Journal: Proc. Amer. Math. Soc. 138 (2010), 2431-2441
MSC (2000): Primary 46L53; Secondary 60G42
Published electronically: March 24, 2010
Previous version: Original version posted March 4, 2010
Corrected version: Current version corrects publisher's error in listing order of author's affiliations
MathSciNet review: 2607873
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We prove Burkholder's inequalities in noncommutative Lorentz spaces $ L^{p,q}(\mathcal {M}), 1<p<\infty,$ $ 1\leq q<\infty$, associated with a von Neumann algebra $ \mathcal {M}$ equipped with a faithful normal tracial state. These estimates generalize the classical inequalities in the commutative case.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46L53, 60G42

Retrieve articles in all journals with MSC (2000): 46L53, 60G42


Additional Information

Yong Jiao
Affiliation: Laboratoire de Mathématiques, Université de Franche-Comté, 25030 Besançon Cedex, France
Address at time of publication: Institute of Probability and Statistics, Central South University, Changsha 410075, People’s Republic of China
Email: jjiao@univ-fcomte.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-10-10267-6
PII: S 0002-9939(10)10267-6
Keywords: Noncommutative martingales, Burkholder's inequalities, Lorentz spaces.
Received by editor(s): January 13, 2009
Received by editor(s) in revised form: September 22, 2009
Published electronically: March 24, 2010
Additional Notes: The author was partially supported by the Agence Nationale de Recherche (06-BLAN-0015), the National Natural Science Foundation of China (10671147) and the China Scholarship Council (2007U13085).
Communicated by: Marius Junge
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.