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个人简介
王子鹏,2015年于剑桥大学获得数学博士学位。自2012年7月起,同时在美国普林斯顿大学开始博士课题研究,师从Elias M. Stein,并在其指导下完成博士论文。
学术成果
王子鹏博士的研究领域为调和分析,目前的研究方向包括:
1.乘积空间上的分数次积分 (fractional integrals) 和傅立叶积分 (Fourier integrals);
2.分数次积分的离散形式。
代表论文
1.Classical solution to differential inclusions with totally disconnected right-hand side, with A. Bressan, Journal of Differential Equations, 246: 629-640, 2009.
2.On the controllability of Lagrangian systems with active constraints, with A. Bressan, Journal of Differential Equations, 247: 543-563, 2009.
3.Generalized Dirichlet to Neumann maps for linear dispersive equations on half-Line, with A. S. Fokas, Mathematical Proceedings of the Cambridge Philosophical Society, 164:297-324, 2018.
4.Theta-bump theorem for product fractional integrals, with E. Sawyer, to appear at Studia Mathematica
5.Stein-Weiss inequality on product spaces, to appear at Revista Mathemática Iberoamericana
6.Hardy-Littlewood-Sobolev inequality on product spaces, Preprint 2019,
7.Regularity of Fourier integrals on product spaces, Preprint 2020
联系方式
Email: wangzipeng@westlake.edu.cn
Personal website: wang-math-westlake.com