Title: L^p bounds for Hilbert transforms along certain variable curves

Speaker:万仁辉（南京师范大学）

Time:2023-06-01，9:00-10:00

Location:腾讯会议 754117896

Abstract:We will show the L^p boundedness of the Hilbert transforms along some variable non-flat curves. The proof is based on the estimate of shift maximal operator and Stein-Wainger-type’s decay estimate by Guo-Pierce-Roos-Yung. Besides, we also list some other recent works on a class of variable polynomial curve, whose proofs depend on the time-frequency analysis techniques and a new crucial estimate of some separate sets.

Contact Person:王梦 (mathdreamcn@zju.edu.cn)