GAUSSIAN MEASURE OF LARGE BALLS IN LP

• 成果类型: Article
• 署名作者: LINDE, W
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176990343
• 发表日期: 1991
• 页码: 1264-1279
• 关键词: VECTORS

摘要

We study the behavior of mu{ is-an-element-of E; parallel-to x parallel-to > t} as t --> infinity for a Gaussian measure mu in a Banach or quasi-Banach space in the following cases: 1. E = l(p), 2 < p < infinity, and mu of diagonal form but not necessarily symmetric; 2. E = Hilbert space and mu-arbitrary; 3. E = l(p)n, 0 < p < 2, and mu of diagonal form. While 2 solves a problem of Hweng (1980), 1 and 3 extend some results of Dobric, Marcus and Weber (1988).