HYPERCONTRACTION METHODS IN MOMENT INEQUALITIES FOR SERIES OF INDEPENDENT RANDOM-VARIABLES IN NORMED SPACES

• 成果类型: Article
• 署名作者: KWAPIEN, S; SZULGA, J
• 署名单位: Auburn University System; Auburn University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176990550
• 发表日期: 1991
• 页码: 369-379
• 关键词: valued random-variables

摘要

We prove that if (theta-k) is a sequence of i.i.d. real random variables then, for 1 < q < p, the linear combinations of (theta-k) have comparable pth and qth moments if and only if the joint distribution of (theta-k) is (p, q)-hypercontractive. We elaborate hypercontraction methods in a new proof of the inequality. [GRAPHICS] where (X(i)) is a sequence of independent zero-mean random variables with values in a normed space, and C(p) almost-equal-to p/ln p.