数学季刊 ›› 1994, Vol. 9 ›› Issue (3): 88-94.

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Integral Solution Operators for the Cauchy-Riemann Equations on an Open Set with Piecewise C1-Boundary

  

  1. Dept. of   Math. Shndong      Norm. Uni.    250014


  • 收稿日期:1994-02-28 出版日期:1994-09-30 发布日期:2025-04-22

Integral Solution Operators for the Cauchy-Riemann Equations on an Open Set with Piecewise C1-Boundary

  1. Dept. of   Math. Shndong      Norm. Uni.    250014
  • Received:1994-02-28 Online:1994-09-30 Published:2025-04-22

摘要: The methods of Niles p vrelid which he used in strictly pseudoconvex domains are cosulted,in  this paper,and not only for imhomogeneous Cauchy-Riemann equations on some cases that for bounded  open  sets with C'-Boundary,bounded open  sets with piecewise C¹-boundary,and peudoconvex domains with C¹-boundary are discussed,but also their linear integral operators solutions and elementary estimated  are corresponding given.

Abstract: The methods of Niles p vrelid which he used in strictly pseudoconvex domains are cosulted,in  this paper,and not only for imhomogeneous Cauchy-Riemann equations on some cases that for bounded  open  sets with C'-Boundary,bounded open  sets with piecewise C¹-boundary,and peudoconvex domains with C¹-boundary are discussed,but also their linear integral operators solutions and elementary estimated  are corresponding given.

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