赖旭东科研成果

基本信息 English Version 新建主栏目 个人简介 名称 赖旭东, 现为数学研究院教授，博士生导师，获2022年教育部自然科学奖二等奖（4/4）。招收硕士、博士、博士后，欢迎对分析学感兴趣的同学报考。 联系方式: xudonglai@hit.edu.cn 教育经历 名称 2014.9-2017.7 理学博士, 基础数学, 北京师范大学 导师：丁勇 2015.9-2016.9 联合培养博士, University of Wisconsin-Madison，Mentor：Andreas Seeger 2011.9-2014.7 理学硕士, 基础数学, 北京师范大学 导师：丁勇 2007.9-2011.7 理学学士, 数学与应用数学, 华南理工大学 研究领域 名称 调和分析及其应用。调和分析，也称为Fourier分析，主要研究以Fourier变换为核心的各类算子的有界性以及相应的函数空间理论。目前调和分析已发展为一个庞大的研究领域，并广泛应用于偏微分方程、数论、几何测度论、小波分析、图像压缩等领域。 资助基金 名称 中国博士后科学基金，二等，5万，2017.11-2019.11 科研启动经费，10万，2018.01-2019.12 中国博士后科学基金第11批特别资助，15万，2018.06-2020.06 国家自然科学基金青年基金，23万，2019.01-2021.12 校青年拔尖人才科研启动经费，20万，2021.06-2024.12 黑龙江省自然科学基金优秀青年项目，10万，2022.07-2025.07 国家自然科学基金面上项目，47万，2023.01-2026.12 论文列表 名称 Noncommutative maximal strong Lp estimates of Calderón-Zygmund Operators, Israel J. Math. 2023. (With Guixiang Hong, Samya Kumar Ray, Bang Xu) pdf Fourier restriction estimates on quantum Euclidean spaces, Adv. Math. 430 (2023) 109232. (With Guixiang Hong, Liang Wang) pdf Noncommutative maximal operators with rough kernels, Analysis & PDE. 2022. pdf Weak type (1,1) behavior for the Littlewood-Paley g-function, Colloq. Math., 171 (2023), no. 2, 285–302. pdf Maximal singular integral operators acting on noncommutative Lp-spaces, Math. Ann. 386 (2023), no. 1-2, 375–414. (With Guixiang Hong, Bang Xu.)pdf On vector-valued singular integral operators with rough kernels, Math. Nachr. 2022 pdf Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori. Comm. Math. Phys. 390 (2022), no. 1, 193–230. pdf On the compositions of rough singular integral operators, J. Geom. Anal. 31 (2021) , no.3, 2742-2765. (With Guoen Hu, Qingying Xue) pdf Maximal operator for the higher order Calderón commutator, Canad J. Math. 72 (2020), no. 5, 1386-1422. pdf Multilinear estimates for Calder'on commutators. Int. Math. Res. Not. IMRN, 2020, no. 20, 7097-7138. pdf A note on weak type (1,1) estimate for the higher order commutator of Christ-Journ'e type. Anal. Theory Appl. 35 (2019), no. 3, 268–287. (With Yong Ding) pdf Weak type (1,1) bound criterion for singular integral with rough kernel and its application. Trans. Amer. Math. Soc. 371(2019), No. 3, 1649-1675.(With Yong Ding) pdf A note on the discrete Fourier restriction problem, Proc. Amer. Math. Soc. 146(2018), no. 9, 3839-3846. (With Yong Ding) pdf On a singular integral of Christ-Journé type with homogeneous kernel, Canadian Mathematical Bulletin. 61(2018), no. 1, 97-113. (With Yong Ding) pdf Weighted weak type (1,1) estimate for Christ-Journé type commutator. Science China Mathematics. 61(2018), no.3, 517-534.. (With Yong Ding) pdf L1-Dini condition and limiting behavior of weak type estimate for singular integrals. Rev. Mat. Iberoam. 33 (2017), no. 4, 1267-1284. (With Yong Ding) pdf Weak type (1,1) behavior for the maximal operator with L1-Dini kernel, Potential Analysis. 47 (2017), no. 2, 169–187. (With Yong Ding) Behavior of bounds of singular integrals for large dimension. Forum Math. 28(2016), no. 6, 1015-1030. (With Yong Ding) Unique solvability of the Neumann problem with weighted boundary data on a bounded C1 domain. J. Math. Anal. App, 444(2016),340-369. (With Yong Ding) Weighted bound for commutators. J. Geom. Anal. 25(2015), no. 3, 1915-1938. (With Yong Ding) 课程教学 名称 1、 2021春研究生课程，《奇异积分算子》，教材：现代分析基础 丁勇编著。 2、 2024春、2023春、2022春本科生课程，《复变函数》，教材：复变函数（第五版） 余家荣编。 Education 名称 Ph.D. Mathematics, Beijing Normal University, 2017, Advisor: Yong Ding. Joint training Ph.D program, University of Wisconsin-Madison, 2015.09-2016.09. Mentor: Andreas, Seeger. M.A. Mathematics, Beijing Normal University, 2014. Advisor: Yong Ding. B.S. Math and Applied Mathematics, South China University of Technology, 2011. Research Interest 名称 Harmonic analysis and its application Publication 名称 Noncommutative maximal strong Lp estimates of Calderón-Zygmund Operators, Israel J. Math. 2023. (With Guixiang Hong, Samya Kumar Ray, Bang Xu) pdf Fourier restriction estimates on quantum Euclidean spaces, Adv. Math. 430 (2023) 109232. (With Guixiang Hong, Liang Wang) pdf Noncommutative maximal operators with rough kernels, Analysis & PDE. 2022. pdf Weak type (1,1) behavior for the Littlewood-Paley g-function, Colloq. Math., 171 (2023), no. 2, 285–302. pdf Maximal singular integral operators acting on noncommutative Lp-spaces, Math. Ann. 386 (2023), no. 1-2, 375–414. (With Guixiang Hong, Bang Xu.)pdf On vector-valued singular integral operators with rough kernels, Math. Nachr. 2022 pdf Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori. Comm. Math. Phys. 390 (2022), no. 1, 193–230. pdf On the compositions of rough singular integral operators, J. Geom. Anal. 31 (2021) , no.3, 2742-2765. (With Guoen Hu, Qingying Xue) pdf Maximal operator for the higher order Calderón commutator, Canad J. Math. 72 (2020), no. 5, 1386-1422. pdf Multilinear estimates for Calder'on commutators. Int. Math. Res. Not. IMRN, 2020, no. 20, 7097-7138. pdf A note on weak type (1,1) estimate for the higher order commutator of Christ-Journ'e type. Anal. Theory Appl. 35 (2019), no. 3, 268–287. (With Yong Ding) pdf Weak type (1,1) bound criterion for singular integral with rough kernel and its application. Trans. Amer. Math. Soc. 371(2019), No. 3, 1649-1675.(With Yong Ding) pdf A note on the discrete Fourier restriction problem, Proc. Amer. Math. Soc. 146(2018), no. 9, 3839-3846. (With Yong Ding) pdf On a singular integral of Christ-Journé type with homogeneous kernel, Canadian Mathematical Bulletin. 61(2018), no. 1, 97-113. (With Yong Ding) pdf Weighted weak type (1,1) estimate for Christ-Journé type commutator. Science China Mathematics. 61(2018), no.3, 517-534.. (With Yong Ding) pdf L1-Dini condition and limiting behavior of weak type estimate for singular integrals. Rev. Mat. Iberoam. 33 (2017), no. 4, 1267-1284. (With Yong Ding) pdf Weak type (1,1) behavior for the maximal operator with L1-Dini kernel, Potential Analysis. 47 (2017), no. 2, 169–187. (With Yong Ding) Behavior of bounds of singular integrals for large dimension. Forum Math. 28(2016), no. 6, 1015-1030. (With Yong Ding) Unique solvability of the Neumann problem with weighted boundary data on a bounded C1 domain. J. Math. Anal. App, 444(2016),340-369. (With Yong Ding) Weighted bound for commutators. J. Geom. Anal. 25(2015), no. 3, 1915-1938. (With Yong Ding)