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) 565net必赢客户端引进人才科研启动基金项目, NY217151, 201709-202008, 5万,负责人 (5) 565net必赢客户端国自基金孵化项目,NY219114, 201901-202112, 负责人 |
论著 代表作 | [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: [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. [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. |