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中山大学数学学院导师教师师资介绍简介-陈鹏

本站小编 Free考研考试/2021-05-20


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陈鹏
系别:数学系
电话:
职称:副教授

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邮箱:chenpeng3@mail.sysu.edu.cn
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研究方向: 调和分析
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研究成果:已发表论文
[1]?Chen, Peng; Duong, Xuan Thinh; Li, Ji; Song, Liang; Yan, Lixin; BMO spaces associated to operators with generalised Poisson bounds on non-doubling manifolds with ends. J. Differential Equations 270 (2021), 114–184.
[2] Chen, Peng; Ouhabaz, El Maati; Sikora, Adam; Yan, Lixin;?Spectral multipliers without semigroup framework and application to random walks.?J. Math. Pures Appl. (9) 143 (2020), 162–191.
[3]?Chen, Peng; Duong, Xuan Thinh; Li, Ji; Yan, Lixin; Sharp endpoint Lp estimates for Schr?dinger groups. Math. Ann. 378 (2020), no. 1-2, 667–702.
[4]??Chen, Peng; Lee, Sanghyuk; Sikora, Adam; Yan, Lixin Bounds on the maximal Bochner-Riesz means for elliptic operators. Trans. Amer. Math. Soc. 373 (2020), no. 6, 3793–3828.?
[5]??Chen, Peng; Sikora, Adam; Yan, Lixin Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces. Math. Z. 294 (2020), no. 1-2, 555–570.?
[6]??Chen, Peng; Duong, Xuan Thinh; Li, Ji; Wu, Qingyan Compactness of Riesz transform commutator on stratified Lie groups. J. Funct. Anal. 277 (2019), no. 6, 1639–1676.?
[7]??Chen, Peng; He, Danqing; Song, Liang Weighted inequalities for bilinear rough singular integrals from L2×L2 to L1. J. Geom. Anal. 29 (2019), no. 1, 402–412.
[8]?Chen, Peng;?Duong, Xuan Thinh;?Li, Ji;?Song, Liang;?Yan, LiXin?Carleson measures, BMO spaces and balayages associated to Schr?dinger operators.?Sci. China Math.?60(2017),?no. 11,?2077–2092.
[9]. Peng Chen, Xuan Thinh Duong, Ji Li, Lesley A.Ward and Lixin Yan, Marcinkiewicz- Type spectral multipliers on Hardy and Lebesgue Spaces on product spaces of homogeneous type. J. Fourier Anal. Appl., 23 (2017), no.1, 21–64.
[10]. Peng Chen, Waldemar Hebisch and Adam Sikora, Bochner-Riesz profile of anharmonic oscillator L=-\Delta+|x|. J. Funct. Anal. 271 (2016), no. 11, 3186--3241.
[11]. Peng Chen, El Maati Ouhabaz, Adam Sikora and Lixin Yan, Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means. J. Anal. Math. 129 (2016), 219–283.
[12]. Peng Chen, Xuan Thinh Duong, Ji Li, Lesley A. Ward and Lixin Yan, Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type. Math. Z. 282 (2016), no. 3-4, 1033–1065.
[13]. Peng Chen and El Maati Ouhabaz, Weighted restriction type estimates for Grushin operators and application to spectral multipliers and Bochner-Riesz summability. Math. Z. 282 (2016), no. 3-4, 663–678.
[14]. Peng Chen, Jocelyn Magniez and El Maati Ouhabaz, The Hodge–de Rham Laplacian and Lp-boundedness of Riesz transforms on non-compact manifolds. Nonlinear Anal. 125 (2015), 78–98.
[15]. Peng Chen, Ji Li and Lesley A. Ward, BMO from dyadic BMO via expectations on product spaces of homogeneous type. J. Funct. Anal. 265 (2013), 2420--2451.
[16]. Peng Chen and Adam Sikora, Sharp spectral multipliers for a new class of Grushin type operators. J. Fourier Anal. Appl. 19(2013), 1274--1293.
[17]. Peng Chen, Xuan Thinh Duong and Lixin Yan, Lp-Bounds for Stein's square functions associated to operators and applications to spectral multipliers. J. Math. Soc. Japan, 65(2013), 389--409.?
[18]. Peng Chen, Sharp spectral multipliers for Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates. Colloq. Math., 133(2013), 51--65.
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科研基金项目
1. 2016-2018 国家自然科学基金青年基金:NSFC **? 主持
2.?2016-2019 广东省自然科学基金自由申请(面上项目):2016A 主持
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学习经历:
2000.9—2004.7? 华中科技大学(本科)
2004.9—2007.7 ?华中师范大学(硕士)
2009.9—2012.1 ?中山大学(博士)
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工作经历:
2012.1—2012.10??? ?澳大利亚麦考瑞大学 ( Macquarie University)
2012.10—2013.10?? 澳大利亚南澳大学 ( University of South Australia?)
2013.10—2014.10?? 法国波尔多大学 ( Universite de Bordeaux )
2014.10至今??????? ??? 中山大学
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