| 摘要: |
| 对于C3中的超曲面上的任意（1，0）切向量场，证明了其上的交换子型和列维型是相等的.这在三维情形解决了D'Angelo提出的一个问题. |
| 关键词: 有限型 拟凸超曲面 Bloom猜测 次椭圆估计 |
| DOI： |
| 分类号:O174.56 |
| 基金项目:The first author is partially supported by National Natural Science Foundation of China (11722110). |
|
| THE COMMUTATOR TYPE AND THE LEVI FORM TYPE IN C3 |
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YIN Wan-ke, YUAN Ping-san, CHEN Ying-xiang
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School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
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| Abstract: |
| For any fixed (1, 0) vector field of a pseudoconvex hypersurface in C3, we prove that its commutator type and Levi form type are equal to each other. This answers affirmatively a problem of D'Angelo in complex dimension three. |
| Key words: finite type pseudoconvex hypersurface Bloom conjecture sub-elliptic estimates |
