Rearrangement Invariant Norms of Symmetric Sequence Norms of Independent Sequences of Random Variables
نویسندگان
چکیده
Abstract. Let X1, X2, . . . , Xn be a sequence of independent random variables, let M be a rearrangement invariant space on the underlying probability space, and let N be a symmetric sequence space. This paper gives an approximate formula for the quantity ‖‖(Xi)‖N‖M whenever Lq embeds into M for some 1 ≤ q < ∞. This extends work of Johnson and Schechtman who tackled the case when N = lp, and recent work of Gordon, Litvak, Schütt and Werner who obtained similar results for Orlicz spaces.
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تاریخ انتشار 2001