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：

暂无

中图分类号：

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.

引用

页码：255 / 272

页数：17

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