Burkholder’s inequalities in noncommutative Lorentz spaces
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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
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Additional Information
- Yong Jiao
- Affiliation: Institute of Probability and Statistics, Central South University, Changsha 410075, People’s Republic of China – and – 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
- MR Author ID: 828053
- Email: jjiao@univ-fcomte.fr
- 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
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 2431-2441
- MSC (2000): Primary 46L53; Secondary 60G42
- DOI: https://doi.org/10.1090/S0002-9939-10-10267-6
- MathSciNet review: 2607873