| Bergman空间的实变刻画 |
| |
| 引用本文： | 陈泽乾,欧阳威. Bergman空间的实变刻画[J]. 应用泛函分析学报, 2011, 13(3): 246-259. DOI: 10.3724/SP.J.1160.2011.00246 |
| |
| 作者姓名： | 陈泽乾 欧阳威 |
| |
| 作者单位： | 1. 中国科学院武汉物理与数学研究所,武汉,430071
2. 中国科学院武汉物理与数学研究所,武汉430071;中国科学院研究生院,北京100049 |
| |
| 摘 要： | 介绍复球上Bergman空间实变理论的某些新进展,包括Bergman空间关于Carleson矩形的实变原子分解,极大函数和面积函数刻画以及运用帐篷空间的实变刻画.特别是,用齐次空间上向量值Calderón-Zygmund奇异积分算子理论研究Bergman积分算子的Lp有界性并给出了Bergman空间面积积分刻画的新证明...
|
| 关 键 词： | Bergman空间 Bergman距离 极大函数 面积函数 Bergman积分算子 |
Real-variable Characterizations of Bergman Spaces |
| |
| CHEN Zeqian,OUYANG Wei. Real-variable Characterizations of Bergman Spaces[J]. Acta Analysis Functionalis Applicata, 2011, 13(3): 246-259. DOI: 10.3724/SP.J.1160.2011.00246 |
| |
| Authors: | CHEN Zeqian OUYANG Wei |
| |
| Affiliation: | CHEN Zeqian~1,OUYANG Wei~(1,2) 1.Wuhan Institute of Physics and Mathematics,CAS,Wuhan 430071,China 2.Graduate University of Chinese Academy of Sciences,Beijing 100049,China |
| |
| Abstract: | In this paper,we give a survey of results obtained recently by the present authors on real-variable characterizations of Bergman spaces,which are closely related to maximal and area integral functions in terms of the Bergman metric.In particular,we give a new proof of those results concerning area integral characterizations through using the method of vector-valued CalderónZygmund operators to handle Bergman singular integral operators on the complex ball.The proofs involve some sharp estimates of the Bergman kernel function and Bergman metric. |
| |
| Keywords: | Bergman space Bergman metric maximal function area function Bergman integral operator |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
