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Kahane-Khinchine type inequalities for negative exponent

Abstract : We prove a concentration inequality for delta-concave measures over R-n. Using this result, we study the moments of order q of a norm with respect to a delta-concave measure over R-n. We obtain a lower bound for q is an element of ]-1, 0] and an upper bound for q is an element of ]0, + infinity[ in terms of the measure of the unit ball associated to the norm. This allows us to give Kahane-Khinchine type inequalities for negative exponent.
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https://hal-upec-upem.archives-ouvertes.fr/hal-00693887
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Submitted on : Thursday, May 3, 2012 - 9:01:34 AM
Last modification on : Tuesday, October 19, 2021 - 4:07:09 PM

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  • HAL Id : hal-00693887, version 1

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Olivier Guedon. Kahane-Khinchine type inequalities for negative exponent. Mathematika, University College London, 1999, 46 (91), pp.165--173. ⟨hal-00693887⟩

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