Xiumin Du

collaborators

2 papers

math.CA2024

$L^{p}$ estimates of the maximal SchrÃ¶dinger operator in $R^{n}$

Xiumin Du, Jianhui Li

We obtain $L^{p}$ estimates of the maximal SchrÃ¶dinger operator in $R^{n}$ using polynomial partitioning, bilinear refined Strichartz estimates, and weighted restriction estim…

math.CA2024

$L^{p}$ weighted Fourier restriction estimates

Xiumin Du, Jianhui Li, Hong Wang +1

We obtain some sharp $L^{p}$ weighted Fourier restriction estimates of the form $∥ E f ∥_{L^{p} (B^{n + 1} (0, R), H d x)} ⪅ R^{2} ∥ f ∥_{2}$ , where $E$ is the Fourier extension operator…

Lp estimates of the maximal SchrÃ¶dinger operator in Rn

Lp weighted Fourier restriction estimates

$L^{p}$ estimates of the maximal SchrÃ¶dinger operator in $R^{n}$

$L^{p}$ weighted Fourier restriction estimates