Complex Analysis and Operator Theory

, Volume 6, Issue 2, pp 447–464 | Cite as

Higher Order Boundary Integral Formula and Integro-Differential Equation on Stein Mainfolds

  • Lüping ChenEmail author
  • Tongde Zhong
  • Tao Qian


This paper deals with the boundary value properties and the higher order singular integro-differential equation. On Stein manifolds, the Hadamard principal value, the Plemelj formula and the composite formula for higher order Bochner–Martinelli type integral are given. As an application, the composite formula is used for discussing the solution of the higher order singular integro-differential equation.


Stein manifolds Higher order singular integral Bochner–Martinelli integral Plemelj formula Composite formula Integro-differential equation 

Mathematics Subject Classification (2000)

32A25 32A40 45Exx 


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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.School of Mathematical SciencesXiamen UniversityXiamenPeople’s Republic of China
  2. 2.Faculty of Science and TechnologyThe University of MacauMacauPeople’s Republic of China

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