个人信息

姓　　名: 檀健 性　　別: 男 导师类型: 硕士生导师
技术职称: 副教授 电子邮箱: tj@njupt.edu.cn
学术型硕士招生学科: (070100)数学
专业型硕士招生类别(领域): (025200)应用统计

个人简介:
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。

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 OperatorTheory、C. R. Math. Acad. Sci.Paris、Canad. Math. Bull.等期刊发表论文若干篇。


主要研究项目：
(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**，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，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, 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, 201709-202008, 5万，负责人
(5) 南京邮电大学国自基金孵化项目， 201901-202112, 负责人


主要论著：
[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/S0298. (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, Birkh?user, 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 Calder?n-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 H?lder-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.
研究领域:
调和分析、函数空间及其应用、应用统计