Analysis on decoupled domains in C^n+1
14:00:00 - 15:00:00
浦大邦講堂 , Institute of Atomic and Molecular Sciences, Dr. Poe Lecture Hall
Let W be a decoupled domain of finite type in Cn+1 with boundary M. In this talk, we shall discuss geometric and analytical problems related to the Kohn-Laplacian defined on M. The fundamental solution of the Kohn-Laplacian will be constructed. Then we will discuss \"possible\" sharp estimates of the fundamental solution. A new class of singular integral operators which is so-called flag singular integral, arises naturally in this case.