On Khintchine inequalities with a weight
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- by Mark Veraar PDF
- Proc. Amer. Math. Soc. 138 (2010), 4119-4121 Request permission
Abstract:
In this paper we prove a weighted version of the Khintchine inequalities.References
- Guillermo P. Curbera, A note on function spaces generated by Rademacher series, Proc. Edinburgh Math. Soc. (2) 40 (1997), no. 1, 119–126. MR 1437816, DOI 10.1017/S0013091500023488
- Víctor H. de la Peña and Evarist Giné, Decoupling, Probability and its Applications (New York), Springer-Verlag, New York, 1999. From dependence to independence; Randomly stopped processes. $U$-statistics and processes. Martingales and beyond. MR 1666908, DOI 10.1007/978-1-4612-0537-1
- Uffe Haagerup, The best constants in the Khintchine inequality, Studia Math. 70 (1981), no. 3, 231–283 (1982). MR 654838, DOI 10.4064/sm-70-3-231-283
- A. Khintchine, Über dyadische Brüche, Math. Z. 18 (1923), no. 1, 109–116 (German). MR 1544623, DOI 10.1007/BF01192399
- R. Latala and K. Oleszkiewicz, A note on the constants in the Khinchin-Kahane inequality, unpublished, 1995.
Additional Information
- Mark Veraar
- Affiliation: Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands
- MR Author ID: 775296
- Email: mark@profsonline.nl, M.C.Veraar@tudelft.nl
- Received by editor(s): January 13, 2010
- Received by editor(s) in revised form: February 16, 2010
- Published electronically: June 29, 2010
- Additional Notes: The author was supported by a VENI subsidy 639.031.930 of the Netherlands Organization for Scientific Research (NWO)
- Communicated by: Nigel J. Kalton
- © 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), 4119-4121
- MSC (2010): Primary 60E15; Secondary 46B09, 60G50
- DOI: https://doi.org/10.1090/S0002-9939-2010-10450-1
- MathSciNet review: 2679633