General Integral Formulasof (0, q)(q 〉 0)Differential Forms on the Analytic Varieties

作者:CHEN; Shu-jin

摘要:In this paper, firstly using different method and technique we derive the cor-responding integral representation formulas of (0, q)(q 〉 0) differential forms for the twotypes of the bounded domains in complex submanifolds with codimension-m. Secondly weobtain the unified integral representation formulas of (0, q)(q 〉 0) differential forms for thegeneral bounded domain in complex submanifold with codimension-m, which include Hatzi-afratis formula, i.e. Koppelman type integral formula for the bounded domain with smoothboundary in analytic varieties. In particular, when m -- 0, we obtain the unified integralrepresentation formulas of (0, q)(q 〉 0) differential forms for general bounded domain in Cn,which are the generalization and the embodiment of Koppelman-Leray formula.

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关键词:
  • complex
  • submanifold
  • analytic
  • varieties
  • unified
  • formula
  • extension
  • form
  • integral
  • representation

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期刊名称:数学季刊

期刊级别:省级期刊

期刊人气:733

杂志介绍:
主管单位:河南大学
主办单位:河南大学
出版地方:河南
快捷分类:科学
国际刊号:1002-0462
国内刊号:41-1102/O1
邮发代号:36-170
创刊时间:1986
发行周期:季刊
期刊开本:B5
下单时间:1个月内
复合影响因子:0.2
综合影响因子:0.11