Polar functions of multiparameter bifractional Brownian sheets

被引：0
作者：
Zhen-long Chen
机构：
[1] Zhejiang Gongshang University,College of Statistics and Mathematics
来源：
Acta Mathematicae Applicatae Sinica, English Series | 2009年 / 25卷
关键词：
Bifractional Brownian sheet; polar function; Hausdorff dimension; packing dimension; capacity; 60G15; 60G17;
D O I：
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学科分类号：
摘要：
Let BH,K = {BH,K(t), t ∈, ℝN+N} be an (N, d)-bifractional Brownian sheet with Hurst indices H = (H1, …, HN) ∈,(0, 1)N and K = (K1, …, KN) ∈, (0, 1]N. The characteristics of the polar functions for BH,K are investigated. The relationship between the class of continuous functions satisfying the Lipschitz condition and the class of polar-functions of BH,K is presented. The Hausdorff dimension of the fixed points and an inequality concerning the Kolmogorov’s entropy index for BH,K are obtained. A question proposed by LeGall about the existence of no-polar, continuous functions statisfying the Hölder condition is also solved.
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页码：255 / 272
页数：17
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