GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY

doi:10.1016/S0252-9602(07)60007-1

数学物理学报(英文版)

GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY

陈振龙

浙江工商大学统计与数学学院, 杭州 310035

收稿日期:2004-12-08 修回日期:1900-01-01 出版日期:2007-01-20 发布日期:2007-01-20
通讯作者: 陈振龙
基金资助:
Supported by the key research base for humanities and social sciences of Zhejiang Provincial high education talents (Statistics of Zhejiang Gongshang University)

GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY

Chen Zhenlong

College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310035, China

Received:2004-12-08 Revised:1900-01-01 Online:2007-01-20 Published:2007-01-20
Contact: Chen Zhenlong

摘要/Abstract

摘要：

Let $\widetilde{W}$ be a two-parameter, R^d-valued generalized Brownian sheet. The author obtains an explicit Bessel--Riesz capacity estimate for the images of a two-dimensional set under $\widetilde{W}$. He also presents the connections between the Lebesgue measure of the image of $\widetilde{W}$ and Bessel--Riesz capacity. His conclusions also
solve a problem proposed by J.-P.Kahane.

关键词: Generalized Brownian sheet, capacity, image, multi-parametermartingale

Abstract:

Key words: Generalized Brownian sheet, capacity, image, multi-parametermartingale

中图分类号:

60J45

陈振龙. GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY[J]. 数学物理学报(英文版), 2007, 27(1): 77-91.

Chen Zhenlong. GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY[J]. Acta mathematica scientia,Series B, 2007, 27(1): 77-91.

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GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY

GENERALIZED BROWNIAN SHEET IMAGES AND BESSEL-RIESZ CAPACITY

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