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- W2951534489 abstract "Let $X$ be a Banach space and let $(xi_j)_{jge 1}$ be an i.i.d. sequence of symmetric random variables with finite moments of all orders. We prove that the following assertions are equivalent: (1). There exists a constant $K$ such that $$ Bigl(EBig|sum_{j=1}^n xi_j f(x_j)Big|^2Bigr)^{frac12} leq K n fn_{rm Lip} Bigl(EBig|sum_{j=1}^n xi_j x_jBig|^2Bigr)^{frac12} $$ for all Lipschitz functions $f:Xto X$ satisfying $f(0)=0$ and all finite sequences $x_1,...,x_n$ in $X$. (2). $X$ is isomorphic to a Hilbert space." @default.
- W2951534489 created "2019-06-27" @default.
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- W2951534489 date "2005-04-22" @default.
- W2951534489 modified "2023-09-27" @default.
- W2951534489 title "On the action of Lipschitz functions on vector-valued random sums" @default.
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