朱相荣
Researcher

Gender:Male

Alma Mater:浙江大学

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MOBILE Version

Personal Information

主讲课程

主讲本科课程:实变函数

主讲研究生课程:函数空间理论基础,调和分析基础

学术兴趣及主要研究方向

调和分析,几何分析,偏微分方程

科研项目

1. 调和映照理论中的若干问题,国家自然科学基金青年项目(NSFC11101372),主持

2012/01-2014/12

2. 曲线上Hilbert变换及相关算子的若干问题,浙江省自然科学基金(LY14A010015),

主持,2014/01-2016/12

3. 限制性定理,时频分析及其应用,国家自然科学基金面上项目(NSFC 11371316),主要参与人(3),2014/01-2017/12

4. 中国博士后基金(一等,20060400336),主持,2007/01-2008/06(已结题).

 

 

发表论文和著作

1. Chen, Jiecheng; Zhu, Xiangrong, A note on the strong maximal operator on $R^ n$.

Studia Math. 165 (2004), no. 3, 291--294.

2. Chen, Jiecheng; Zhu, Xiangrong, A note on $BMO$ and its application. J. Math. Anal. Appl.  303 (2005), no. 2, 696--698.

3. Chen, Jiecheng; Zhu, Xiangrong, Boundedness of maximal singular integrals.

Chinese Ann. Math. Ser. B 26 (2005), no. 4, 559--568.

4. Ye, Xiaofeng; Zhu, Xiangrong, A note on certain block spaces on the unit sphere.

Acta Math. Sinica Ser. B 22 (2006), no. 6, 1843--1846.

5. Shen, Gang; Zhu, Xiangrong, Axisymmetric solutions to the $3D$ Euler equations.

Nonlinear Analysis 66 (2007) no. 9, 1938--1948.

6. Zhu, Xiangrong, The existence of weak solutions to the $2D$ Euler equations with initial vorticity in $BMO$. Acta Math. Sinica Ser. B.  23 (2007), no. 10, 1881--1888.                        

7. Chen, Jiecheng; Zhu, Xiangrong, A note on weak type $L^1$ boundedness of CZOs with rough kernels. J. Math. Anal. Appl.  339 (2008), no. 1, 438--453.

8. Chen, Jiecheng; Fan, Dashan; Wang, Meng; Zhu, Xiangrong, $L^p$ bounds for oscillatory hyper Hilbert transform along curves.

Proc.  Amer. Math. Soc. 136 (2008), no. 9, 3145--3153.

9. Zhu, Xiangrong, A remark on vorticity maximal function.

J. Math. Anal. Appl.  340 (2008), no. 2, 1027--1032.

10. Zhu, Xiangrong, Solutions to a certain class of degenerate elliptic equations.

Nonlinear Analysis 71 (2009), no. 1-2,  646--653.

11. Chen, Jiecheng; Fan, Dashan; Zhu, Xiangrong*, Sharp $L^2$ boundedness of the oscillatory hyper Hilbert transform along curves.

Acta Math. Sinica Ser. B.  26 (2010), no. 4, 653--658.

12.Li, Jiayu; Zhu xiangrong, Nonexistence of quasi-harmonic spheres.

Calc. Var. Partial Differential Equations.  37 (2010), no. 3-4, pp. 441-460.

13. Zhu, Xiangrong; Wang, Meng, Liouville theorems for quasi-harmonic functions.

Nonlinear Analysis 73 (2010), 2890-2896.

14.Li Jiayu; Zhu, Xiangrong, Existence of $2D$ Skyrmions.

Math. Z. 268 (2011), no. 1-2, 305–315.

15. Chen, Jiecheng; Fan, Dashan, Wu, Huoxiong; Zhu, Xiangrong,

Oscillatory integrals on unit square along surfaces.

Front. Math. China 6 (2011), no. 1, 49–59.

16.Li Jiayu; Zhu, Xiangrong, Small energy compactness for approximate harmonic mappings. 

Comm. in Contem. Math.  13 (2011), no. 5, 741–763.

17. Li Jiayu; Zhu, Xiangrong, Energy identity for the maps from a surface with tension field bounded in Pacific J. Math. 260 (2012), no. 1, 181–195.

18. Zhu, Xiangrong, No neck for approximate harmonic maps to the sphere. 

Nonlinear Anal. 75 (2012), no. 11, 4339-4345.

19. Chen, Jiecheng; Zhu, Xiangrong*,  -boundedness of Hilbert transforms along variable curves. J. Math. Anal. Appl. 395 (2012), no. 2, 515–522. 

20. Zhu, Xiangrong; Chen, Jiecheng, Integrability of the general product Hardy operators on the product Hardy spaces. 

Appl. Math. J. Chinese Univ. Ser. B 27 (2012), no. 2, 225–233.

21. Chen, Jiecheng; Zhu, Xiangrong*, Boundedness of multidimensional Hausdorff operators on . J. Math. Anal. Appl. 409 (2014), no. 1, 428–434.


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