Embedding Compact Strongly Pseudoconvex CR Manifolds of Class C-3,C-alpha

作者：Shaw Mei Chi^*

来源：Pure and Applied Mathematics Quarterly, 2010, 6(4): 1105-1122.

• Pseudohermitian CR manifolds
• Kohn's Laplacian
• Embedding abstract CR structures

In this paper we derive maximal pointwise Holder estimates for the Kohn's Laplacian on strongly pseudoconvex CR manifolds of class C-3 using the Tanaka-Webster Pseudohermitian metric. The estimates can be used to improve the Boutet De Monvel's embedding theorem for strongly pseudoconvex compact CR manifolds of real dim ension greater or equal to five with less smoothness assumption.

• 出版日期2010