奇异积分算子在实与复分析中的应用(英文)  

Applications of the Singular Integral operators in Real and Complex Analysis

作　　者：李松鹰 

机构地区：[1]Department of Mathematics

出　　处：《数学进展》2000年第3期193-213,共21页Advances in Mathematics（China）

摘　　要：本文是一份综合报告．它基于作者的一部份研究工作和他在北京师范大学的五次讲演稿，以奇异积分算子作为桥梁联结函数空间的结果和偏微分方程的结果作了阐述．它包括奇次空间上的调和分析，并应用到多复变函数论上．综述了已知的结果并提出本解决的问题．This is a survey paper based on some of the author's research works. We use thesingular integral operators as a bridge to connect some interesting results of function space theoryand the results in the partial differential equations in the both real and complex variables. It includesHardy space and commutator theory on space of homogeneous type and their application to harmonicanalysis in Rn or domains in Cn. Several interesting open problems are pooed.

关 键 词：HARDY空间 换位子 奇异积分算子 实分析 复分析 

分 类 号：O174.1[理学—数学] O174.5[理学—基础数学]