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

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

2001-06-13

arxiv.org/abs/math/0106114v5

Mathematics

Probability

Also available at http://www.math.missouri.edu/~stephen/preprints/ . Made minor corrections

Scientific paper

Let X_1, X_2,..., X_n 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 || ||(X_i)||_N ||_M whenever L_q embeds into M for some 1 le q < infty. This extends work of Johnson and Schechtman who tackled the case when N = l_p, and recent work of Gordon, Litvak, Schuett and Werner who obtained similar results for Orlicz spaces.

Affiliated with

Also associated with

No associations

Rating

Rearrangement Invariant Norms of Symmetric Sequence Norms of Independent Sequences of Random Variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rearrangement Invariant Norms of Symmetric Sequence Norms of Independent Sequences of Random Variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rearrangement Invariant Norms of Symmetric Sequence Norms of Independent Sequences of Random Variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507381