Polar Functions of Multiparameter Bifractional Brownian Sheets

被引：1

作者：

Zhenlong Chen College of Statistics and MathematicsZhejiang Gongshang UniversityHangzhou China ^{[310018
]}

机构：

来源：

Acta Mathematicae Applicatae Sinica | 2009年 / 25卷 / 02期

关键词：

Bifractional Brownian sheet; polar function; Hausdorff dimension; packing dimension; capacity;

D O I：

暂无

中图分类号：

O174 [函数论];

学科分类号：

070104 ;

摘要：

<正>Let BH,K={BH,K（t）,t∈R+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 H（?）lder condition is also solved.

引用

页码：255 / 272

页数：18

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