Title：Sharp L^p decay estimates for degenerate oscillatory integral operators

Speaker：许绍镇    （南京大学）

Time：2019年12月13日     下午  14:30-15:30

Room：东区第五教楼 5507室

Abstract：In this talk, we will give a brief survey on decay estimates for oscillatory integrals and introduce some results on sharp L^p decay estimates for degenerate oscillatory integral operators. By damped oscillatory integral  operators, we reestablish the sharp L^p decay estimates for real-analytic oscillatory integral operators in lower dimensions, this is a joint work with  Z. Shi and D. Yan.  In higher dimensions, we obtain the sharp L^p decay  estimates for a class of oscillatory integral operators with homogeneous polynomial phases, this is a joint work with D. Yan.