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On Khintchine inequalities with a weight
Author(s):
Mark
Veraar
Journal:
Proc. Amer. Math. Soc.
138
(2010),
4119-4121.
MSC (2010):
Primary 60E15;
Secondary 46B09, 60G50
Posted:
June 29, 2010
MathSciNet review:
2679633
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Additional information
Abstract:
In this paper we prove a weighted version of the Khintchine inequalities.
References:
-
- 1.
- G. P. Curbera, A note on function spaces generated by Rademacher series, Proc. Edinburgh Math. Soc. (2) 40 (1997), no. 1, 119-126. MR 1437816 (98e:46036)
- 2.
- V. H. de la Peña and E. Giné, Decoupling. From dependence to independence. Randomly stopped processes.
 -statistics and processes. Martingales and beyond. Probability and its Applications (New York), Springer-Verlag, New York, 1999. MR 1666908 (99k:60044) - 3.
- U. Haagerup, The best constants in the Khintchine inequality, Studia Math. 70 (1981), no. 3, 231-283 (1982). MR 654838 (83m:60031)
- 4.
- A. Khintchine, Über dyadische Brüche, Math. Z. 18 (1923), no. 1, 109-116. MR 1544623
- 5.
- R. Latala and K. Oleszkiewicz, A note on the constants in the Khinchin-Kahane inequality, unpublished, 1995.
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Additional Information:
Mark
Veraar
Affiliation:
Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands
Email:
mark@profsonline.nl, M.C.Veraar@tudelft.nl
DOI:
10.1090/S0002-9939-2010-10450-1
PII:
S 0002-9939(2010)10450-1
Keywords:
Khintchine inequalities,
weight
Received by editor(s):
January 13, 2010
Received by editor(s) in revised form:
February 16, 2010
Posted:
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 of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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