Wenjuan Li

activity

20162026

most citedPointwise convergence of solutions to the Schrödinger equation along a class of curves

3 citations · 8 across the 15 of their papers we have counts for

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14 papers · 1 filter

math.CA2026

$L^{p}$ -Estimates for maximal averages along mixed homogeneous hypersurfaces in $R^{3}$

Stefan Buschenhenke, Wenjuan Li, Detlef Müller +1

In this paper, we study $L^{p}$ -estimates for maximal averaging operators $M$ along hypersurfaces $S$ in $R^{3}$ which are the graph of a mixed homogeneous function…

math.CA2026

A Study on Kakeya Needle Problem for $(n - 1)$ -Rectifiable Sets

Wenjuan Li, Hongqiang Wang, Huiju Wang

In this article we study the analog of Kakeya needle problem for $(n - 1)$ -rectifiable sets in $R^{n}$ and construct the related Nikodym type sets. The novelty of our approach…

math.CA2024

Maximal functions related to homogeneous hypersurfaces in $R^{3}$

Wenjuan Li, Huiju Wang

We study maximal functions related to homogeneous polynomial hypersurfaces in $R^{3}$ . In a sense made precise in this paper, the region of $(p, q)$ for which we obtain $L^p\…

math.CA2022★ 2 cited

Sharp convergence for sequences of Schrödinger means and related generalizations

Wenjuan Li, Huiju Wang, Dunyan Yan

For decreasing sequences ${t_{n}}_{n = 1}^{\infty}$ converging to zero, we obtain the almost everywhere convergence results for sequences of Schrödinger means $e^{i t_{n} Δ} f$ , where…

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.CA2021★ 2 cited

On convergence properties for generalized Schrödinger operators along tangential curves

Wenjuan Li, Huiju Wang

In this paper, we consider convergence properties for generalized Schrödinger operators along tangential curves in $R^{n} \times R$ with less smoothness comparing…

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

A Note on Non-tangential Convergence for Schrödinger Operators

Wenjuan Li, Huiju Wang, Dunyan Yan

The goal of this note is to establish non-tangential convergence results for Schrödinger operators along restricted curves. We consider the relationship between the dimension of th…

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.CA2020

Convergence problems along curves for generalized Schrödinger operators with polynomial growth

Wenjuan Li, Huiju Wang

In this paper we build the relationship between smoothness of the functions and convergence rate along curves for a class of generalized Schrödinger operators with polynomial growt…

math.CA2019★ 1 cited

A study on a class of generalized Schrödinger operators

Wenjuan Li, Huiju Wang

In this paper, we consider the pointwise convergence for a class of generalized Schrödinger operators with suitable perturbations, and convergence rate for a class of generalized S…

math.CA2018★ 3 cited

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.

math.CA2016

Maximal functions associated with nonisotropic dilations of hypersufaces in R^3

Wenjuan Li

The goal of this article is to establish L^p-estimates for maximal functions associated with nonisotropic dilations of hypersurfaces in R^3. Several results have already been obtai…

Lp-Estimates for maximal averages along mixed homogeneous hypersurfaces in R3

A Study on Kakeya Needle Problem for (n−1)-Rectifiable Sets

Maximal functions related to homogeneous hypersurfaces in R3

Sharp convergence for sequences of Schrödinger means and related generalizations

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

On convergence properties for generalized Schrödinger operators along tangential curves

Sharp convergence for sequences of nonelliptic Schrödinger means

Pointwise Convergence for sequences of Schrödinger means in R2

A Note on Non-tangential Convergence for Schrödinger Operators

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

Convergence problems along curves for generalized Schrödinger operators with polynomial growth

A study on a class of generalized Schrödinger operators

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

Maximal functions associated with nonisotropic dilations of hypersufaces in R^3

$L^{p}$ -Estimates for maximal averages along mixed homogeneous hypersurfaces in $R^{3}$

A Study on Kakeya Needle Problem for $(n - 1)$ -Rectifiable Sets

Maximal functions related to homogeneous hypersurfaces in $R^{3}$

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 $R^{3}$