$L^p$ weighted Fourier restriction estimates

Xiumin Du, Jianhui Li, Hong Wang +1

We obtain some sharp $L^p$ weighted Fourier restriction estimates of the form $\Vert Ef{\Vert }_{L^p(B^{n+1}(0,R),Hdx)}⪅R^{\beta }\Vert f{\Vert }_2$, where $E$ is the Fourier extension operator o…