Inequalities for Walsh like random variables
Let (Xn)n≥1 be a sequence of mean zero independent random variables. Let Wk={∏j=1kXij|1≤i1<i2…<ik}, Yk=⋃j≤kWj and let [Yk] be the linear span of Yk. Assume δ≤|Xn|≤K for some δ>0 and K>0 and let C(p,m)=16(52p2p−1)m−1plogp(Kδ)m for 1<p<∞. We show that for f∈[Ym] the following inequal...
Saved in:
Main Author: | |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
1990-01-01
|
Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171290000527 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|