个人简介

山东人，北京师范大学数学博士。

研究兴趣

调和分析及其应用，主要研究色散算子的敛散性以及沿曲线Hilbert变换的有界性。

主讲课程

本科生课程《微积分》《创业教育》《创新创业的理论与实践》等。

学习经历

2017年9月-2020年6月，北京师范大学基础数学专业，理学博士。

工作经历

2020年9月至今，William威廉William威廉，讲师。

主要科研项目

1. 分数次Schrödinger算子和Boussinesq算子沿曲线的点态收敛性，William威廉William威廉2023年度科研项目，2023.06-2024.12，主持；

2. 函数论方法在肺癌的PET/CT图像重建和欧式期权定价问题的应用，北京市高教学会数学研究分会教育教改课题，2023.01-2024.12，主持；

3. 色散方程解的点态收敛性，William威廉青年教师科研启动基金项目，2011.01-2012.12，主持。

主要学术成果

[1] Dan Li and Junfeng Li, A note on the convergence along tangential curve associated with fractional Schrödinger propagator and Boussinesq operator. Chinese Ann. Math. Ser. B. To appear.(SCI )

[2] Dan Li and Junfeng Li, The pointwise convergence along curve associated with Boussinesq operator. Front. Math. China. To appear. (SCI )

[3] Dan Li and Xiang Li, A note on Boussinesq maximal estimate. AIMS Mathematics，9(2023), no. 1, 1819-1830. (SCI )

[4] Dan Li and Junfeng Li, A Carleson problem for the Boussinesq operator. Acta Math. Sin. (Engl. Ser.). 39(2023), no. 1, 119-148.(SCI )

[5] Dan Li, Junfeng Li and Jie Xiao, An upbound of Hausdorff's dimension of the divergence set of the fractional Schrödinger operator on. Acta Math. Sci. Ser. B (Engl. Ed.) 41 (2021), no. 4, 1223-1249.(SCI )

[6] Haixia Yu, Kaili He and Dan Li, Boundedness of Hilbert transforms along variable curves. J. Math. Anal. Appl. 491 (2020), no. 2, 124394, 21 pp. (SCI )

[7] Dan Li and Haixia Yu, Convergence of a class of Schrödinger equations. Rocky Mountain J. Math. 50 (2020), no. 2, 639-649. (SCI )

[8] Dan Li and Junfeng Li, A note on 4-order Schrödinger operator and Beam operator. Front. Math. China. 14 (2019), no. 6, 1197-1211. (SCI )

[9] Dan li, Zhenlong Zhang and Zongguang Liu, Some characterizations of Campanato spaces via the commutator of fractional integral operator. Jordan J. Math. Stat. 10 (2017), no. 3, 199-215.

[10] Dan Li, A Hörmander type multiplier theorem on fractional Fourier multiplier operators. Jordan J. Math. Stat. 10 (2017), no. 2, 169-188.