Displaying similar documents to “An isomorphic Dvoretzky's theorem for convex bodies”

Tail and moment estimates for some types of chaos

Rafał Latała (1999)

Studia Mathematica

Similarity:

Let X i be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable X = i j a i , j X i X j , where a i , j are real numbers. We derive approximate formulas for the tails and moments of X and of its decoupled version, which are exact up to some universal constants.

On the best constant in the Khinchin-Kahane inequality

Rafał Latała, Krzysztof Oleszkiewicz (1994)

Studia Mathematica

Similarity:

We prove that if r i is the Rademacher system of functions then ( ʃ i = 1 n x i r i ( t ) 2 d t ) 1 / 2 2 ʃ i = 1 n x i r i ( t ) d t for any sequence of vectors x i in any normed linear space F.