12-13【许绍镇】五教5507 吴文俊数学重点实验室分析系列报告

时间:2019-12-09


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.



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