逯光辉老师简介

文章来源:数学与统计学院发布日期:2020-05-28浏览次数:6391



逯光辉,男,汉族,中共党员,19877月出生,甘肃秦安人,理学博士,西北师范大学数学与统计学院副教授、硕士研究生导师. 目前担任美国数学会

Mathematical Reviews》和德国《Zentralblatt MATH》评论员20129月至20156月于新疆大学数学与系统科学学院攻读理学硕士学位,师从周疆教授20159月至20186月于西北师范大学数学与统计学院攻读理学博士学位,师从陶双平教授,并于同年7入职西北师范大学数学与统计学院任教. 研究方向为调和分析及应用(小波分析与应用统计),现主要研究调和分析中各类积分算子在不同底空间函数空间上的映射性质及其应用方面的相关问题. 近年来,在国际期刊杂志《 Bull. Sci. Math.》、《Math. Nachr.》、《Nagoya Math. J.》、《 Bull. Malays. Math. Sci. Soc.》、《 Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 》、《J. Korean Math. Soc. 》、Bull. Soc. Math. France》、《Ann. Funct. Anal.》、《Rocky Mountain J. Math.》、《Complex Var. Elliptic Equ.》和国内期刊杂志《数学学报》、《数学研究与应用(英文版)》、《数学物理学报》和《高校应用数学学报》等上发表学术论文50篇, 其中SCI论文38余篇.

主要承担本科生《解析几何》、《数学分析IIIIII》、《泛函分析》、《实变函数》、《高等数学I》、《微积分》及研究生《经典傅里叶分析(英文版)》、《Fourier分析》、《现代分析基础》、《小波分析》等课程的教学工作. 近年来,指导本科生获的高教社杯大学生数学建模甘肃赛区一等奖和大学生数学竞赛甘肃赛区二等奖、三等奖多项.

联系方式:

址: 甘肃省兰州市安宁区安宁东路967号  邮编:730070       

办公地点: 西北师范大学致勤楼B108室                 

E-mail: lghwmm1989@126.com, luguanghui@nwnu.edu.cn.


科研项目:

[1]国家自然科学基金青年基金项目(12201500),起止年月: 2023.01--2025.12主持在研.

[2]国家自然科学基金地区基金项目(12361018),起止年月: 2024.01--2027.12参与在研.

[3]甘肃省自然科学基金青年项目(22JR5RA173),起止年月:2022.08--2024.09主持在研.

[4]西北师范大学青年教师科研能力提升计划项目(NWNU-LKQN2020-07),起止年月: 2020.07--2023.12主持,已结项.

[5]肃省高等学校科研项目(2020A-010), 起止年月:2020.06--2022.11主持,已结项.

发表的部分学术论文:

[1] Guanghui Lu, Shuangping Tao, Miaomiao Wang, Estimates for bilinear generali-zed fractional integral operator and its commutator on generalized Morrey spaces over RD-spaces, Ann. Funct. Anal. , 15(1): 1-47, Paper No. 1, 2024. (SCI)

[2] Guanghui Lu, Shuangping Tao, Two-weighted estimate for generalized fractional integral and its commutator on generalized fractional Morrey spaces, J. Math. Study,56(4): 345–356, 2023. (SCI, T3)

[3] Guanghui Lu, Shuangping Tao, Estimate for some integral operators and their commutators on generalized fractional mixed Morrey spaces, Bull. Sci. Math., 187:1-23,Paper No. 103314, 2023. (SCI, T2)

[4] Guanghui Lu, Multiple weighted estimates for bilinear Calderón-Zygmund oper-ator and its commutator on non-homogeneous spaces, Bull. Sci. Math., 187: 1-24, Paper No. 103311, 2023. (SCI, T2)

[5] Guanghui Lu, Shuangping Tao, Bilinear θ-type generalized fractional integral and its commutator on nonhomogeneous metric measure spaces, Rocky Mountain J. Math., 53(3): 839–857, 2023. (SCI, T3)

[6] Guanghui Lu, Shuangping Tao and Ronghui Liu,Θ-type Calderón-Zygmund op-erator and its commutator on (grand) generalized weighted variable exponent Morrey space over RD-spaces, J. Pseudo-Differ. Oper. Appl., 14(4): 1-22, 2023. (SCI)

[7] Guanghui Lu, Dinghuai Wang, Characterizations of commutators of the Hardy-Littlewood maximal function on Triebel-Lizorkin spaces, Czechoslovak Math. J., 73(2): 513-524, 2023.  (SCI)

[8] Guanghui Lu, Fractional type Marcinkiewicz integral and its commutator on no-nhomogeneous spaces, Nagoya Math. J., 248: 801-822, 2022. (SCI)

[9] Guanghui Lu,Weighted estimates for θ-type Calderón-Zygmund operator and its commutator on metric measure spaces, Complex Var. Elliptic Equ., 67(9): 2061-2075,(SCI)

[10] Gunaghui Lu,Shuangping Tao,Bilinear θ-type generalized fractional integral operator and its commutator on some non-homogeneous spaces, Bull. Sci. Math., 174:1-32, Paper No. 103094, 2022.  (SCI, T2)

[11] Guanghui Lu,Bilinear θ-type Calderón-Zygmund operator and its commutator on non-homogeneous weighted Morrey spaces. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM, 115(1): 1-15,Paper No. 16, 2021. (SCI)

[12] Gunaghui Lu,Shuangping Tao,Generalized homogeneous Littlewood-Paleyg-function on some function spaces, Bull. Malays. Math. Sci. Soc., 44(1): 17–34, 2021.

[13] Guanghui Lu, Parameter Marcinkiewicz integral and its commutator on generalized Orlicz-Morrey spaces, J. Korean Math. Soc., 58(2): 383-400, 2021.(SCI, T3)

[14] Guanghui Lu, Jiang Zhou, Bilinear pseudo-differential operators on product of weighted spaces, J. Pseudo-Differ. Oper. Appl., 11(4): 1647-1664, 2020. (SCI)

[15] Guanghui Lu, Shuangping Tao, Fractional type Marcinkiewicz commutators ov-er non-homogeneous metric measure spaces, Anal. Math., 45(1): 87-110, 2019.(SCI)

[16] 陶双平,逯光辉*Morrey空间上Marcinkiewicz积分与交换子, 数学学报(中文版)62(2): 269-278, 2019. (T3)

[17] Miaomia Wang, Shaoxian Ma and Guanghui Lu, Littlewood-Paley g-function and its commutator on non-homogeneous generalized Morrey space, Tokyo J. Math.,41: 617-626, 2018. (SCI)

[18] Guanghui Lu, Shuangping Tao, Generalized Morrey spaces over non-homogene ous metric measure spaces, J. Aust. Math. Soc., 103(1): 268-278, 2017. (SCI, T3)