A note about Khoshnevisan-Xiao conjecture
成果类型：
Article
署名作者：
Manstavicius, Martynas
署名单位：
University of Connecticut
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/009117906000000197
发表日期：
2006
页码：
1635-1640
关键词：
摘要：
Khoshnevisan and Xiao showed in [Ann. Probab. 33 (2005) 841-878] that the statement about almost surely vanishing Bessel-Riesz capacity of the image of a Borel set G subset of R+ under a symmetric Levy process X in R-d is equivalent to the vanishing of a deterministic f-capacity for a particular function f defined in terms of the characteristic exponent of X. The authors conjectured that a similar statement is true for all Levy processes in R-d. We show that the conjecture is true provided we extend the definition of f and require certain integrability conditions which cannot be avoided in general.