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数学
数学
高贵连
上传时间:2022-05-07 作者: 浏览次数:10

一、导师照片

二、基本信息

中文姓名: 高贵连  拼音姓名:Gao Guilian   职称:副教授

所属学院:理学院

导师类别:硕士生导师

科研方向:Hardy型平均算子、Hausdorff型算子等积分算子的性质研究 

硕士招生学院:理学院

联系方式:gaoguilian@hdu.edu.cn,  gaoguilian305@163.com

三、个人简述:

高贵连,2012年博士毕业于浙江大学数学系基础数学专业,2019年8月-2020年8月赴澳大利亚麦考瑞大学访问交流。主要从事调和分析中Hardy型平均算子、Hausdorff型算子等积分算子的性质研究。主持并已结题国家自然科学基金项目两项, 作为主要参与人参与多个国家级和浙江省自然科学基金一般项目。 至今已在Analysis Mathematica,Annals of Functional Analysis,Journal of  Mathematical Physics等杂志上发表20余篇论文。

四、学术论文

(一)代表性论文

1. Some characterizations of the generalized BMO spaces via the boundedness of maximal function commutators, Annals of Functional Analysis, 2021, 12:25, https://doi.org/10.1007/s43034-021-00113-0. (with Y. Fan)

2. Sharp embedding relations between local Hardy and \alpha-Modulation spaces, Analysis Mathematica, 2021, 47(2), 451-481. (with G.P. Zhao, W.C. Guo) 

3. Some estimates of Hardy operators and their commutators on Morrey-Herz spaces, Journal of Mathematical Inequalities, 2017, 11(1), 49-58. (with Y. Zhong)

4. Sharp weak estimates for Hardy-type operators, Annals of Functional Analysis, 2016, 7 (3), 421-433.  (with X.M. Hu, C.J. Zhang)

5. Sharp weak bounds for Hausdorff operators, Analysis Mathematica, 2015, 41, 163-173. (with F.Y. Zhao)      

6. (Lp, Lq)-boundedness of Hausdorff operators with power weight on Euclidean spaces, Analysis in Theory and Applications,2015,31(2), 101-108. (with H. Amjad)

7. Some results for Hausdorff operator, Mathematical Inequalities & Applications, 2015, 18 (1), 155-168.  (with X.M. Wu, W.C. Guo) 

8. Sharp bounds for multilinear Hausdorff operator, Acta Math. Sinica (Chin. Ser.)  2015, 58(1), 53-160 . (with Y. Fan)  

9. Estimates of three classical summations on the spaces $\dot {F}_p^{\alpha ,q} (\mathbb{R}^n )(0 < p \leq 1)$, Applied Mathematics-A Journal of Chinese Universities Series B, 2014, 29(3), 329-338.  (with Y. Zhong)

10. Some inequalities for Hausdorff operators, Mathematical Inequalities & Applications, 2014, 18(1), 155-168. (with Y. Zhong)

11. Some new estimates for the commutators of n-dimensional Hausdorff operator, Applied Mathematics-A Journal of Chinese Universities Series B, 2014, 29 (2), 139-150. (with H. Amjad)

12. Some new results about the massless Dirac operator, Journal of  Mathematical Physics, 54, 043510, 2013.  (with Y. Zhong)

(二)科研项目

(1) 国家自然科学基金天元项目:Hardy型算子与Hausdorff型算子的加权有界性,No:11701130, 2016.01.01-2016.12.31,主持。

(2) 国家自然科学基金青年项目:与平均算子相关的有界性与紧性,No:11701130, 2018.01.01-2020.12.31,主持。

 


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