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Rearrangement Invariant Norms of Symmetric Sequence Norms of Independent Sequences of Random Variables

Let , ,…, be a sequence of independent random variables, let be a rearrangement invariant space on the underlying probability space, and let be a symmetric sequence space. This paper gives an approximate formula for the quantity whenever embeds into for some 1 ≤ < ∞. This extends work of Johnson and Schechtman who tackled the case when = , and recent work of Gordon, Litvak, Schütt and Werner who obtained similar results for Orlicz spaces
Year of publication:
2018
Authors: Montgomery-Smith, Stephen
Publisher: [2018]: [S.l.] : SSRN
Subject: Soziale Norm | Social norm | Zufallsvariable | Random variable | Spieltheorie | Game theory
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