L2 estimates and existence theorems for the $$\bar \partial $$ operator
L2 estimates and existence theorems for the $$\bar \partial $$ operator
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DOI：
10.1007/bf02391775
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发表时间：
1965-07
期刊：
影响因子：
3.7
通讯作者：
L. Hörmander
中科院分区：
文献类型：
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作者：
L. Hörmander
理论的解析函数的几个复杂的变量，例如提出的嘉当研讨会[7]，包括在减少理论的解析函数的一个复杂的变量。第一个只研究函数在polycylinders（产品的开放集在不同的坐标平面）。将结果推广到更一般的领域，然后通过将它们嵌入到高维空间中的多圆柱子流形中来实现。这个过程的成功当然取决于
The theory of analytic function of several complex variables, as presented for example in the Cartan seminars [7], consists in a reduction to the theory of analytic functions of one complex variable. First one only studies functions in polycylinders (products of open sets in the different coordinate planes). The extension of the results to more general domains is then achieved by embedding them as submanifolds of polycylinders in spaces of high dimension. The success of this procedure depends of course on the invariance of