Huiju Wang

activity

20182022

collaborators

5 papers

math.CA2022

Sparse domination and $L^{p} \to L^{q}$ estimates for maximal functions associated with curvature

Wenjuan Li, Huiju Wang, Yujia Zhai

In this paper, we study maximal functions along some finite type curves and hypersurfaces. In particular, various impacts of non-isotropic dilations are considered. Firstly, we pro…

math.CA2020

Sharp convergence for sequences of nonelliptic Schrödinger means

Wenjuan Li, Huiju Wang, Dunyan Yan

We consider pointwise convergence of nonelliptic Schrödinger means $e^{i t_{n} □} f (x)$ for $f \in H^{s} (R^{2})$ and decreasing sequences ${t_{n}}_{n = 1}^{\infty}$ con…

math.CA2020

Pointwise Convergence for sequences of Schrödinger means in $R^{2}$

Wenjuan Li, Huiju Wang, Dunyan Yan

We consider pointwise convergence of Schrödinger means $e^{i t_{n} Δ} f (x)$ for $f \in H^{s} (R^{2})$ and decreasing sequences ${t_{n}}_{n = 1}^{\infty}$ converging to zero. T…

math.CA2020

$L^{p} \to L^{q}$ estimates for maximal functions associated with nonisotropic dilations of hypersurfaces in $R^{3}$

Wenjuan Li, Huiju Wang

The goal of this article is to establish $L^{p} \to L^{q}$ estimates for maximal functions associated with nonisotropic dilations $δ_t(x)=(t^{a_1}x_1,t^{a_2}x_2,t^{a_3}x_3)…

math.CA2018

Pointwise convergence of solutions to the Schrödinger equation along a class of curves

Wenjuan Li, Huiju Wang

In this paper, we obtain pointwise convergence of solutions to the Schrodinger equation along a class of curves in $R^{2}$ by the polynomial partitioning.

Sparse domination and Lp→Lq estimates for maximal functions associated with curvature

Sharp convergence for sequences of nonelliptic Schrödinger means

Pointwise Convergence for sequences of Schrödinger means in R2

Lp→Lq estimates for maximal functions associated with nonisotropic dilations of hypersurfaces in R3

Pointwise convergence of solutions to the Schrödinger equation along a class of curves

Sparse domination and $L^{p} \to L^{q}$ estimates for maximal functions associated with curvature

Pointwise Convergence for sequences of Schrödinger means in $R^{2}$

$L^{p} \to L^{q}$ estimates for maximal functions associated with nonisotropic dilations of hypersurfaces in $R^{3}$