个人简介
2007年博士毕业于复旦大学基础数学专业,泛函分析方向。近期研究兴趣集中在函数空间上的算子理论及相关的分析领域。曾任职于东北师范大学数学与统计学院,历任讲师、副教授、教授、博士生导师; 曾担任东北师范大学数学与统计学院主管科研、研究生工作副院长,学院教授委员会、学位委员会、教务委员会成员。主持国家自然科学基金项目四项,其中青年项目一项,面上项目三项。应邀在2022年南京举办的第九届世界华人数学家大会作报告,主要结果发表在Adv. Math., Math. Z., J. Geom. Anal., J. Operator theory, Potential Anal., Bull. London Math. Soc., Pacific Math. J., Studia Math., Sci. China Math.等知名数学杂志。2024年6月起就职于暨南大学数学系,任教授。
希望对分析方向感兴趣且有志于从事基础研究的同学联系我。
学习经历
1997.9-2001.7 东北师范大学 本科; 2001.9-2007.7 复旦大学 硕博连读
工作经历
2007.01-2024.05 东北师范大学 讲师、副教授、教授、博士生导师 2024.06 至今 暨南大学 教授 2012.09-2013.09 美国kansas州立大学 访问学者; 2016.11-2017.01 美国范德堡大学 访问学者.
主要论文
Na Zhan, Yongjiang Duan* and Xiang Fang, A family of log-Bergman spaces(I): Embedding problems and Littlewood-type theorems, Banach J. Math. Analy., 20(2026), No. 1, Paper No. 8.
Yongjiang Duan, Xiang Fang and Jiaqi Ni*, Billard's property over the infinite‐dimensional polydisc, Bulletin of the London Mathematical Society, DOI:10.1112/blms.70202.
Min Dong, Yongjiang Duan*, Kunyu Guo and Siyu Wang, Embedding theorems for weighted Bergman– Orlicz spaces induced by doubling weights, Math. Z., 311,(2025), Paper No.73.
Min Dong, Yongjiang Duan and Sawlet Junis*, Schatten class Toeplitz operators on weighted harmonic Bergman spaces induced by doubling weights, Ann. Funct. Anal.,16 (2025), no. 3, Paper No.56, 26 pp.
Yongjiang Duan, Yufei Li* and Javad Mashreghi, Reproducing kernel functions and boundary limits in model spaces, Pacific J. Math., 337 (2025), no. 2, 225–244.
Yongjiang Duan, Sawlet Junis* and Na Zhan, Bergman projection and Toeplitz operators on weighted harmonic Bergman spaces induced by doubling weights, Acta Math. Sci. Ser. B (Engl. Ed.), 45(2025), no. 4, 1497–1513.
Yongjiang Duan, Xiang Fang and Na Zhan*, Almost sure convergence of the norm of Littlewood polynomials, Canadian Mathematical Bulletin, 67(3), 872-885, 2024.
Yongjiang Duan, Xiang Fang and Na Zhan*, A characterization of random analytic functions satisfying Blaschke-type conditions, Canadian Mathematical Bulletin, 67(3), 670-679, 2024
Yongjiang Duan, J. Rattya, Siyu Wang*, Fanglei Wu, Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights, Adv. Math., 431, Paper No. 109249, 47pp, 2023.
Min Dong, Yongjiang Duan*, Siyu Wang, Toeplitz operators between Bergman–Orlicz spaces, Annals of Functional Analysis,14, No. 3, Paper No. 62, 24pp, 2023.
Yongjiang Duan, Siyu Wang*, Zipeng Wang, Volterra-Type Integration Operators Between Weighted Bergman Spaces and Hardy Spaces, Computational Methods and Function Theory, 23(4), 589–627, 2023.
Yongjiang Duan, Kunyu Guo, Siyu Wang*, Zipeng Wang, Toeplitz operators on a class of radially weighted harmonic Bergman spaces,Potential Analysis, 59, 1621–1641, 2023.
Yongjiang Duan,Kunyu Guo, Siyu Wang and Zipeng Wang, Toeplitz operators on weighted Bergman spaces induced by a class of Radial weights, The Journal of Geometric Analysis, 32, 39(2022).
Yongjiang Duan,Shihao Pang and Siyu Wang, Propagation phenomena for mono-weakly hypo normal operator pairs, Operator and Matrices,Vol.13(1),155-168, 2019.
Yongjiang Duan and Jiaqi Ni, Subnormality of S_2(a,b,c,d) and its Berger measure, Bull. Korean Math. Soc., Vol.53(3), 943-957, 2016.
段永江,李宇飞,加权Bergman空间A^p_alpha上复合算子本质范数的定量估计,中国科学:数学,46卷3期,285- 300, 2016.
Yongjiang Duan and Tingting Qi, Weakly k-hyponormal and polynomially hyponormal commuting operator pairs, Sci. China Math., 58(2), 405-422, 2015.
Jie Cui and Yongjiang Duan*, Berger measure for S(a,b,c,d), J. Math. Anal. Appl., 413(1), 202- 211, 2014.
Yongjiang Duan,Quotient modules for some Hilbert modules over the bidisk, J. Math. Anal. Appl., 366(2), 486-493, 2010.
Yongjiang Duan and Kunyu Guo, Dimention formula for localization of Hilbert modules, J. Operator Theory, 62(2),439-452, 2009.
Yongjiang Duan,Quasi-homogeneous Hilbert Modules,Integr. Equ. Oper. Theory,58(3), 301-314, 2007.
Kunyu Guo and Yongjiang Duan, Spectral properties of quotients of Beurling-type submodules of the Hardy module over the unit ball, Studia Math., 177(2), 141-152, 2006.
承担课题
主持国家自然科学基金项目4项,其中青年项目1项,面上项目3项;主持教育部留学归国人员启动基金1项,吉林省教育厅科技类重点项目1项.参加国家自然科学基金及其它省部级项目7项.
讲授课程
本科生课程:数学分析I、II、III、实变函数、泛函分析、实分析与复分析、高等数学II、微积分、线性代数、人文数学、数学思想概论等专业主干课和大学必修课. 研究生课程:泛函分析(研)、算子理论与算子代数、实分析I、实分析II、随机分析等硕士生和博士生基础课和主干课程.
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