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Science in China Series A: Mathematics

, Volume 44, Issue 10, pp 1284–1293 | Cite as

A new technique of integral representations in ℂ n

  • Zongyuan Yao
  • Chunhui Qiu
  • Chunping Zhong
Article
  • 25 Downloads

Abstract

A new technique of integral representations in ℂ n , which is different from the well-known Henkin technique, is given. By means of this new technique, a new integral formula for smooth functions and a new integral representation of solutions of the ∂-equations on strictly pseudoconvex domains in ℂ n are obtained. These new formulas are simpler than the classical ones, especially the solutions of the ∂-equations admit simple uniform estimates. Moreover, this new technique can be further applied to arbitrary bounded domains in ℂ n so that all corresponding formulas are simplified.

Keywords

strictly pseudoconvex domain smooth function integral representation ∂-equation new technique 

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Copyright information

© Science in China Press 2001

Authors and Affiliations

  1. 1.Department of MathematicsXiamen UniversityXiamenChina

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