Mixed norm estimates for dilated averages over planar curves

Junfeng Li, Zengjian Lou, Haixia Yu

In this paper, we investigate the mixed norm estimates for the operator $T$associated with a dilated plane curve $(ut,u{\hat{I}}^3(t))$, defined by \[ Tf(x, u) := \int_{0}^{1} f(x_1 - ut…