报告地点：行健楼学术活动室526
Abstract: We will investigate the Hilbert transforms and the maximal operators along a class of variable non-flat polynomial curves (P(t), u(x)t) with measurable u(x), and then prove uniform L^p estimates for 1 < p < ∞. The proof is based on the time-frequency analysis techniques, the stationary and non-stationary phase methods in the theory of oscillatory integral; a new crucial estimate of some separate sets, which is motivated by a work of Victor Lie, will be mentioned.
