首页 | 本学科首页   官方微博 | 高级检索  
     检索      

Clifford分析中Isotonic柯西型积分的边界性质
引用本文:库敏,杜金元,王道顺.Clifford分析中Isotonic柯西型积分的边界性质[J].数学学报,2011(2):177-186.
作者姓名:库敏  杜金元  王道顺
作者单位:清华大学计算机科学与技术系;武汉大学数学与统计学院;
基金项目:国家863项目(2009AA011906); 国家自然科学基金资助项目(10871150,60873249); 博士后基金(20090460316,201003111)
摘    要:本文主要刻画了定义于偶数维欧氏空间中光滑曲面而取值于复Clifford代数的isotonic柯西型积分的边界性质.对具有H(o|¨)lder密度函数的isotonic柯西型积分,得到了Privalov定理和Sokhotskii-Plemelj公式,并证明了多复变函数论中经典Bochner-Martinelli型积分的Privalov定理和Sokhotskii-Plemelj公式为其特殊情形.

关 键 词:Clifford分析  Isotonic柯西型积分  Privalov定理

The Boundary Behavior of Isotonic Cauchy Type Integral in Clifford Analysis
Min KU.The Boundary Behavior of Isotonic Cauchy Type Integral in Clifford Analysis[J].Acta Mathematica Sinica,2011(2):177-186.
Authors:Min KU
Institution:Min KU Department of Computer Science and Technology,Tsinghua University,Beijing 100084,P.R.China Jin Yuan DU School of Mathematics and Statistics,Wuhan University,Wuhan 430072,P.R.China Dao Shun WANG Department of Computer Science and Technology,P.R.China
Abstract:The holomorphic functions of several complex variables are closely related to the so-called isotonic Dirac system in which different Dirac operators in the half dimension act from the left and from the right on the functions considered.In this paper we mainly study the boundary properties of the isotonic Cauchy type integral operator over the smooth surface in Euclidean space of even dimension with values in a complex Clifford algebra.We obtain Privarlov tneorem inducing Sokhotskii-Plemelj formula as the sp...
Keywords:Clifford analysis  Isotonic Cauchy type integral  Privalov theorem  
本文献已被 CNKI 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号