Talks

Analysis on decoupled domains in C^n+1

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Der-Chen Chang

2007-06-18
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.