A probabilistic version of Rosenthal’s inequality
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- by S. V. Astashkin and K. E. Tikhomirov PDF
- Proc. Amer. Math. Soc. 141 (2013), 3539-3547 Request permission
Abstract:
We prove some probabilistic relations between sums of independent random variables and the corresponding disjoint sums, which strengthen the well-known Rosenthal inequality and its generalizations. As a consequence we extend the inequalities proved earlier by Montgomery-Smith and Junge for rearrangement invariant spaces to the quasi-normed case.References
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Additional Information
- S. V. Astashkin
- Affiliation: Department of Mathematics and Mechanics, Samara State University, 1 Akademik Pavlov str., 443011 Samara, Russia
- MR Author ID: 197703
- Email: astash@samsu.ru
- K. E. Tikhomirov
- Affiliation: Department of Mathematics and Mechanics, Samara State University, 1 Akademik Pavlov str., 443011 Samara, Russia
- Address at time of publication: Department of Mathematical and Statistical Sciences, 632 Central Academic Building, University of Alberta, Edmonton, AB, T6G 2G1 Canada
- MR Author ID: 806060
- Email: ktikhomirov@yandex.ru, ktikhomi@ualberta.ca
- Received by editor(s): May 8, 2011
- Received by editor(s) in revised form: December 28, 2011
- Published electronically: June 25, 2013
- Additional Notes: This research was partially supported by RFBR grant no. 10-01-00077
- Communicated by: Marius Junge
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3539-3547
- MSC (2010): Primary 46E30, 46B09, 46B45
- DOI: https://doi.org/10.1090/S0002-9939-2013-11713-2
- MathSciNet review: 3080175