指数退化点处$\bar\partial$ -Neumann问题的亚椭圆性
Hypoellipticity of the $\bar\partial$-Neumann problem at exponentially degenerate points
摘要：
证明了$\bar\partial$ -Neumann解算子在具有紧性估计的区域中是局部正则的，在横切于CR方向的曲线外是有限型的，并且定义函数的全纯切导数是Kohn意义下的次椭圆乘子.
英文摘要：
We prove that the $\bar\partial$-Neumann solution operator is locally regular in a domain which has compactness estimates, is of finite type outside a curve transversal to the CR directions and for which the holomorphic tangential derivatives of a defining function are subelliptic multipliers in the sense of Kohn.
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