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1 results

  • Kahane-Khinchine type inequalities for negative exponent

  • Part of
  • Olivier Guédon
  • Journal:
    Mathematika / Volume 46 / Issue 1 / June 1999
    Published online by Cambridge University Press:
    26 February 2010, pp. 165-173
    Print publication:
    June 1999

  • We prove a concentration inequality for δ-concave measures over ℝn. Using this result, we study the moments of order q of a norm with respect to a δ-concave measure over ℝn. We obtain a lower bound for q∈ ]−1, 0] and an upper bound for q∈ ]0,+ ∞[ 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.