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檀健
2023-05-11 20:53
  • 檀健
  • 檀健 - 博士 讲师 硕导-南京邮电大学-理学院-个人资料

近期热点

资料介绍

个人简历


主授课程
本科生:线性代数与解析几何、数据探索与可视化、大数据可视化
个人简历
2017年6月博士毕业于北京师范大学数学科学学院,并随后在南京邮电大学理学院统计学系工作。
2015年8月-2016年9月获得国家留学基金委资助,赴美国Auburn大学博士联合培养一年。
自2016年起担任美国《数学评论》评论员。
主要成果
其一是引进并研究了一些函数空间类,尤其是变指标函数空间与多参数函数空间;
其二是研究了以奇异积分算子与分数次积分算子为核心的相关算子在函数空间的性质及应用。
现主持国家级、省级、厅级等科研项目共5项并以第一作者在J. Geom. Anal.、Forum Math.、Integral Equations Operator Theory、C. R. Math. Acad. Sci. Paris、Canad. Math. Bull.等期刊发表SCI论文十余篇。
研究项目
(1) 乘积空间上加权变指标Hardy空间及多线性算子有界性——国家自然科学基金青年项目11901309,23万,202001-202212, 负责人
(2) 齐型空间上几类变指标函数空间——江苏省自然科学基金青年项目,BK20180734,20万,201807-202106, 负责人
(3) 齐型空间上非齐次变指标函数空间理论——江苏省高等学校自然科学研究面上项目,18KJB110022, 5万,201809-202008, 负责人
(4) 南京邮电大学引进人才科研启动基金项目, NY217151, 201709-202008, 5万,负责人
(5) 南京邮电大学国自基金孵化项目,NY219114, 201901-202112, 负责人
荣誉奖励
1.2017届北京市普通高等学校优秀毕业生(博士)
2.2016年国家奖学金(博士)
3.2014届北京市普通高等学校优秀毕业生(硕士)
4.2013年国家奖学金(硕士)
5.2010年国家奖学金(本科)

研究领域


调和分析、函数空间及其应用""

近期论文


[1] Jian Tan, Carleson measure spaces with variable exponents and their applications. Integral Equations Operator Theory 91 (2019), no. 5, Art. 38, 27 pp. (SCI)
[2] Jian Tan, Atomic decompositions of localized Hardy spaces with variable exponents and applications. J. Geom. Anal. 29 (2019), no. 1, 799–827. (SCI)
[3] Jian Tan, Bilinear Calderón-Zygmund operators on products of variable Hardy spaces. Forum Math. 31 (2019), no. 1, 187–198. (SCI)
[4] Jian Tan, Jiman Zhao, Multilinear pseudo-differential operators on product of local Hardy spaces with variable exponents. J. Pseudo-Differ. Oper. Appl. 10 (2019), no. 2, 379–396. (SCI)
[5] Jian Tan, Discrete paraproduct operators on variable Hardy spaces. Accepted by Canadian Mathematical Bulletin. (2019). DOI: https://doi.org/10.4153/S0008439519000298. (SCI)
[6] Dongli Liu, Jian Tan, Jiman Zhao, Multilinear commutators in variable Lebesgue spaces on stratified groups. Analysis of Pseudo-Differential Operators, Trends in Mathematics, Birkhäuser, Cham, (2019) 97-120. DOI: https://doi.org/10.1007/978-3-030-05168-6_5.
[7] Jian Tan, Inhomogeneous multi-parameter Besov and Triebel-Lizorkin spaces associated with different homogeneities and boundedness of composition operators,Accepted by Journal of Mathematical Inequalities, (2019). (SCI)
[8] Jian Tan, Boundedness of maximal operator for multilinear Calderόn-Zygmund operators on products of variable Hardy spaces, Accepted by Kyoto Journal of Mathematics, (2018). (SCI)
[9] Jian Tan, Off-diagonal extrapolation on mixed variable Lebesgue spaces and its applications to strong fractional maximal operators. Accepted by Georgian Mathematical Journal, (2018). (SCI)
[10] Jian Tan, Yanchang Han, Inhomogeneous multi-parameter Lipschitz spaces associated with different homogeneities and their applications. Filomat 32 (2018), no. 9, 3397–3408. (SCI)
[11] Jian Tan, Pointwise multipliers for inhomogeneous multi-parameter Besov and Triebel-Lizorkin spaces associated with mixed homogeneities, Trans. A. Razmadze Math. Inst. 172 (2018), no. 1, 101–114.
[12] Jian Tan, Atomic decomposition of variable Hardy spaces via Littlewood-Paley-Stein theory. Ann. Funct. Anal. 9 (2018), no. 1, 87–100. (SCI)
[13] Jian Tan, Jiman Zhao, Inhomogeneous Hölder-Zygmund spaces of variable order and their applications. Ann. Funct. Anal. 9 (2018), no. 1, 72–86. (SCI)
[14] Jian Tan, Zongguang Liu, Jiman Zhao, On some multilinear commutators in variable Lebesgue spaces. J. Math. Inequal.,11 (2017), no. 3, 715-734. (SCI)
[15] Jian Tan, Jiman Zhao, Fractional integrals on variable Hardy-Morrey spaces. Acta Math. Hungar. 148 (2016), no. 1, 174–190. (SCI)
[16] Jian Tan, Jiman Zhao, Rough fractional integrals and its commutators on variable Morrey spaces. C. R. Math. Acad. Sci. Paris 353 (2015), no. 12, 1117–1122. (SCI)
[17] 檀健, 刘宗光, 齐次分数次积分算子在变指标函数空间上的有界性. 数学学报, 2015, 58(2):309-320.
美国数学会数学评论员(No. 1129019)

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