VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cn

doi:10.1016/S0252-9602(07)60005-8

数学物理学报(英文版)

VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cⁿ

李英奎; 刘培德

武汉大学数学与统计学院, 武汉 430072

收稿日期:2005-01-30 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: 李英奎

VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cⁿ

Li Yingkui; Liu Peide

School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Received:2005-01-30 Revised:1900-01-01 Online:2007-01-20 Published:2007-01-20
Contact: Li Yingkui

摘要/Abstract

摘要：

In this article, the authors study the vector-valued random power series on
the unit ball of Cⁿ and get vector-valued Salem--Zygmund theorem for them by using martingale technique. Further, the relationships between vector-valued random power series and several function spaces are also studied.

关键词: Random power series, Rademacher function, Salem-Zygmund theorem

Abstract:

Key words: Random power series, Rademacher function, Salem-Zygmund theorem

中图分类号:

32A35

李英奎; 刘培德. VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cⁿ[J]. 数学物理学报(英文版), 2007, 27(1): 57-66.

Li Yingkui; Liu Peide. VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cⁿ[J]. Acta mathematica scientia,Series B, 2007, 27(1): 57-66.

[1]	江良英, 欧阳才衡. COMPACT DIFFERENCES OF COMPOSITION OPERATORS ON HOLOMORPHIC FUNCTION SPACES IN THE UNIT BALL[J]. 数学物理学报(英文版), 2011, 31(5): 1679-1693.
[2]	徐丽芳, 邓方文. COMPOSITION OPERATORS BETWEEN SOME WEIGHTED HARDY SPACES[J]. 数学物理学报(英文版), 2011, 31(1): 292-302.

VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cⁿ

VECTOR-VALUED RANDOM POWER SERIES ON THE UNIT BALL OF Cⁿ

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