Kahane-Khinchine type inequalities for negative exponent
Guedon, Olivier
HAL, hal-00693887 / Harvested from HAL
Text on HAL
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.
Publié le : 1999-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693887,
     author = {Guedon, Olivier},
     title = {Kahane-Khinchine type inequalities for negative exponent},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00693887}
}

Guedon, Olivier. Kahane-Khinchine type inequalities for negative exponent. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693887/