曹军，湖南衡阳市人，博士，浙江工业大学应用数学系副教授，分析与几何研究团队成员。相关结果发表在《Trans. Amer. Math. Soc.》、《J. Math. Pures Appl.》、《J. Fourier Anal. Appl.》、《J. Geom. Anal.》、《Sci.China Math.》等国内外期刊。个人主页：https://caojun1860.github.io/
一、教育背景与工作经历
2018年-至今， 浙江工业大学，副教授
2017年-2019年，德国比勒费尔德大学，博士后（国家留学基金委支持）
2014年-2018年，浙江工业大学，讲师
2011年-2014年，北京师范大学, 博士
2008年-2011年，北京师范大学, 硕士
2004年-2008年，中国矿业大学, 学士
二、研究领域：
主要从事调和分析及其应用方向研究，


三、主持项目
1. 国际自然科学基金面上项目，项目名称：度量测度空间上相关于狄氏型的函数空间实变理论及其应用，批准号：**，执行时间：2021-2024年
2. 国家留学基金委国家公派博士后项目，项目批准号：CSC NO. 6，执行时间：2017-2019年；
3．国家自然科学基金青年基金项目，项目名称: 相关于高阶微分算子的函数空间实变理论及其应用，项目批准号: **, 执行时间：2016-2018年;
4. 浙江工业大学2014年度校级自然科学研究基金-重点项目，项目名称：Hardy空间新实变理论及其应用，项目批准号：2014XZ011，执行时间：2014-2016年.
四、成果奖励
1. 浙江工业大学第一批“数理青年英才支持计划”重点支持计划
2. 浙江工业大学第二批“青年英才支持计划”
3. 浙江工业大学第十届青年教师教学技能比赛优秀奖
4. 理学院第八届青年教师教学技能比赛一等奖
5. 2015年度理学院优秀教师
6. 2014/2015(学)年校级优秀班主任
四、近期论文
1.Cao Jun and Alexander Grigor'yan,Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators, J. Fourier Anal. Appl.2021
2.Cao Jun, Yongyang jin, Shoufeng Shen and Yurong Wu, Characterizations of weighted Hardy-Rellich inequalities and their applications, Math. Inequal. Appl. 23 (2020), no. 3, 873–893.
3.Aline Bonami, Cao Jun, Luong Dang Ky, Liguang Liu, Dachun Yang and Wen Yuan Multiplication between Hardy spaces and their dual spaces, J. Math. Pures Appl. (9) 131 (2019), 130–170.
4.Cao, Jun, L. Liu, D. Yang, Dachun; Yuan, Wen Intrinsic structures of certain Musielak-Orlicz Hardy spaces. J. Geom. Anal. 28 (2018), no. 4, 2961–2983.
5.Cao, Jun; Ky, Luong Dang; Yang, Dachun Bilinear decompositions of products of local Hardy and Lipschitz or BMO spaces through wavelets. Commun. Contemp. Math. 20 (2018), no. 3, **, 30 pp.
6.Cao, Jun; Mayboroda, Svitlana; Yang, Dachun Local Hardy spaces associated with inhomogeneous higher order elliptic operators. Anal. Appl. (Singap.) 15 (2017), no. 2, 137–224.
7.Cao, Jun; Chang, Der-Chen; Fu, Zunwei; Yang, Dachun Real interpolation of weighted tent spaces. Appl. Anal. 95 (2016), no. 11, 2415–2443.
8.Cao, Jun; Mayboroda, Svitlana; Yang, Dachun Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators. Forum Math. 28 (2016), no. 5, 823–856.
9.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Riesz transform characterizations of Musielak-Orlicz-Hardy spaces. Trans. Amer. Math. Soc. 368 (2016), no. 10, 6979–7018.
10.Cao, Jun; Fu, Zunwei; Jiang, Renjin; Yang, Dachun Hardy spaces associated with a pair of commuting operators. Forum Math. 27 (2015), no. 5, 2775–2824.
11.Zhang, Junqiang; Cao, Jun; Jiang, Renjin; Yang, Dachun Non-tangential maximal function characterizations of Hardy spaces associated with degenerate elliptic operators. Canad. J. Math. 67 (2015), no. 5, 1161–1200. 9. Cao, Jun; Chang, Der-Chen; Wu, Huoxiong; Yang, Dachun Weak Hardy spaces WHpL(?n) associated to operators satisfying k-Davies-Gaffney estimates. J. Nonlinear Convex Anal. 16 (2015), no. 7, 1205–1255.
12.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Estimates for second-order Riesz transforms associated with magnetic Schr?dinger operators on Musielak-Orlicz-Hardy spaces. Appl. Anal. 93 (2014), no. 11, 2519–2545.
13.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Boundedness of second order Riesz transforms associated to Schr?dinger operators on Musielak-Orlicz-Hardy spaces. Commun. Pure Appl. Anal. 13 (2014), no. 4, 1435–1463.
14.Bui, The Anh; Cao, Jun; Ky, Luong Dang; Yang, Dachun; Yang, Sibei Musielak-Orlicz-Hardy spaces associated with operators satisfying reinforced off-diagonal estimates. Anal. Geom. Metr. Spaces 1 (2013), 69–129.
15.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Boundedness of fractional integrals on weighted Orlicz-Hardy spaces. Math. Methods Appl. Sci. 36 (2013), no. 15, 2069–2085.
16.The Anh Bui; Cao, Jun; Ky, Luong Dang; Yang, Dachun; Yang, Sibei Weighted Hardy spaces associated with operators satisfying reinforced off-diagonal estimates. Taiwanese J. Math. 17 (2013), no. 4, 1127–1166.
17.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems. Trans. Amer. Math. Soc. 365 (2013), no. 9, 4729–4809.
18.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Boundedness of generalized Riesz transforms on Orlicz-Hardy spaces associated to operators. Integral Equations Operator Theory 76 (2013), no. 2, 225–283.
19.Cao, Jun; Yang, Dachun; Yang, Sibei Endpoint boundedness of Riesz transforms on Hardy spaces associated with operators. Rev. Mat. Complut. 26 (2013), no. 1, 99–114.
20.Cao, Jun; Yang, DaChun Hardy spaces HpL(?n) associated with operators satisfying k-Davies-Gaffney estimates. Sci. China Math. 55 (2012), no. 7, 1403–1440.
21.Cao, Jun; Liu, Yu; Yang, Dachun Hardy spaces H1?(?n) associated to Schr?dinger type operators (?Δ)2+V2. Houston J. Math. 36 (2010), no. 4, 1067–1095.






教师简介
曹军
曹军，湖南衡阳市人，博士，浙江工业大学应用数学系副教授，分析与几何研究团队成员。相关结果发表在《Trans. Amer. Math. Soc.》、《J. Math. Pures Appl.》、《J. Fourier Anal. Appl.》、《J. Geom. Anal.》、《Sci.China Math.》等国内外期刊。个人主页：https://caojun1860.github.io/
一、教育背景与工作经历
2018年-至今， 浙江工业大学，副教授
2017年-2019年，德国比勒费尔德大学，博士后（国家留学基金委支持）
2014年-2018年，浙江工业大学，讲师
2011年-2014年，北京师范大学, 博士
2008年-2011年，北京师范大学, 硕士
2004年-2008年，中国矿业大学, 学士
二、研究领域：
主要从事调和分析及其应用方向研究，


三、主持项目
1. 国际自然科学基金面上项目，项目名称：度量测度空间上相关于狄氏型的函数空间实变理论及其应用，批准号：**，执行时间：2021-2024年
2. 国家留学基金委国家公派博士后项目，项目批准号：CSC NO. 6，执行时间：2017-2019年；
3．国家自然科学基金青年基金项目，项目名称: 相关于高阶微分算子的函数空间实变理论及其应用，项目批准号: **, 执行时间：2016-2018年;
4. 浙江工业大学2014年度校级自然科学研究基金-重点项目，项目名称：Hardy空间新实变理论及其应用，项目批准号：2014XZ011，执行时间：2014-2016年.
四、成果奖励
1. 浙江工业大学第一批“数理青年英才支持计划”重点支持计划
2. 浙江工业大学第二批“青年英才支持计划”
3. 浙江工业大学第十届青年教师教学技能比赛优秀奖
4. 理学院第八届青年教师教学技能比赛一等奖
5. 2015年度理学院优秀教师
6. 2014/2015(学)年校级优秀班主任
四、近期论文
1.Cao Jun and Alexander Grigor'yan,Heat Kernels and Besov Spaces Associated with Second Order Divergence Form Elliptic Operators, J. Fourier Anal. Appl.2021
2.Cao Jun, Yongyang jin, Shoufeng Shen and Yurong Wu, Characterizations of weighted Hardy-Rellich inequalities and their applications, Math. Inequal. Appl. 23 (2020), no. 3, 873–893.
3.Aline Bonami, Cao Jun, Luong Dang Ky, Liguang Liu, Dachun Yang and Wen Yuan Multiplication between Hardy spaces and their dual spaces, J. Math. Pures Appl. (9) 131 (2019), 130–170.
4.Cao, Jun, L. Liu, D. Yang, Dachun; Yuan, Wen Intrinsic structures of certain Musielak-Orlicz Hardy spaces. J. Geom. Anal. 28 (2018), no. 4, 2961–2983.
5.Cao, Jun; Ky, Luong Dang; Yang, Dachun Bilinear decompositions of products of local Hardy and Lipschitz or BMO spaces through wavelets. Commun. Contemp. Math. 20 (2018), no. 3, **, 30 pp.
6.Cao, Jun; Mayboroda, Svitlana; Yang, Dachun Local Hardy spaces associated with inhomogeneous higher order elliptic operators. Anal. Appl. (Singap.) 15 (2017), no. 2, 137–224.
7.Cao, Jun; Chang, Der-Chen; Fu, Zunwei; Yang, Dachun Real interpolation of weighted tent spaces. Appl. Anal. 95 (2016), no. 11, 2415–2443.
8.Cao, Jun; Mayboroda, Svitlana; Yang, Dachun Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators. Forum Math. 28 (2016), no. 5, 823–856.
9.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Riesz transform characterizations of Musielak-Orlicz-Hardy spaces. Trans. Amer. Math. Soc. 368 (2016), no. 10, 6979–7018.
10.Cao, Jun; Fu, Zunwei; Jiang, Renjin; Yang, Dachun Hardy spaces associated with a pair of commuting operators. Forum Math. 27 (2015), no. 5, 2775–2824.
11.Zhang, Junqiang; Cao, Jun; Jiang, Renjin; Yang, Dachun Non-tangential maximal function characterizations of Hardy spaces associated with degenerate elliptic operators. Canad. J. Math. 67 (2015), no. 5, 1161–1200. 9. Cao, Jun; Chang, Der-Chen; Wu, Huoxiong; Yang, Dachun Weak Hardy spaces WHpL(?n) associated to operators satisfying k-Davies-Gaffney estimates. J. Nonlinear Convex Anal. 16 (2015), no. 7, 1205–1255.
12.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Estimates for second-order Riesz transforms associated with magnetic Schr?dinger operators on Musielak-Orlicz-Hardy spaces. Appl. Anal. 93 (2014), no. 11, 2519–2545.
13.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Boundedness of second order Riesz transforms associated to Schr?dinger operators on Musielak-Orlicz-Hardy spaces. Commun. Pure Appl. Anal. 13 (2014), no. 4, 1435–1463.
14.Bui, The Anh; Cao, Jun; Ky, Luong Dang; Yang, Dachun; Yang, Sibei Musielak-Orlicz-Hardy spaces associated with operators satisfying reinforced off-diagonal estimates. Anal. Geom. Metr. Spaces 1 (2013), 69–129.
15.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Boundedness of fractional integrals on weighted Orlicz-Hardy spaces. Math. Methods Appl. Sci. 36 (2013), no. 15, 2069–2085.
16.The Anh Bui; Cao, Jun; Ky, Luong Dang; Yang, Dachun; Yang, Sibei Weighted Hardy spaces associated with operators satisfying reinforced off-diagonal estimates. Taiwanese J. Math. 17 (2013), no. 4, 1127–1166.
17.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Weighted local Orlicz-Hardy spaces on domains and their applications in inhomogeneous Dirichlet and Neumann problems. Trans. Amer. Math. Soc. 365 (2013), no. 9, 4729–4809.
18.Cao, Jun; Chang, Der-Chen; Yang, Dachun; Yang, Sibei Boundedness of generalized Riesz transforms on Orlicz-Hardy spaces associated to operators. Integral Equations Operator Theory 76 (2013), no. 2, 225–283.
19.Cao, Jun; Yang, Dachun; Yang, Sibei Endpoint boundedness of Riesz transforms on Hardy spaces associated with operators. Rev. Mat. Complut. 26 (2013), no. 1, 99–114.
20.Cao, Jun; Yang, DaChun Hardy spaces HpL(?n) associated with operators satisfying k-Davies-Gaffney estimates. Sci. China Math. 55 (2012), no. 7, 1403–1440.
21.Cao, Jun; Liu, Yu; Yang, Dachun Hardy spaces H1?(?n) associated to Schr?dinger type operators (?Δ)2+V2. Houston J. Math. 36 (2010), no. 4, 1067–1095.