Speaker:Shaoming Guo(University of Wisconsin-Madison,US)
Time:2022-10-25, 09:00
Location:Zoom APP ID: 8129551821(No Passward)
Abstract:
Hormander (1973) generalized the Fourier expansion operator to the more general oscillatory integral operators, and asked whether similar L^p boundedness for such operators holds. Bourgain (1991) gave a negative answer to Hormander's question. In this talk, we will discuss the Bourgain's contraexample and some positive results about the Hormander operator. This is a joint work with Hong Wang and Ruixiang Zhang.