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姓名：郭炜超 职务：硕士生导师 职称：副教授 电子邮箱：weichaoguomath@gmail.com 所属教研室：数学与应用数学教研室 |
n 个人简介
2014年博士毕业于浙江大学，2018年来到集美大学工作，现为硕士生导师，招收调和分析方向硕士研究生。近年来主要从事以下内容的研究：
1. 与时频分析相关的函数空间与算子的性质；
2. 经典调和分析中的奇异积分及相关算子的有界性与紧性；
3. Hausdorff算子的有界性。
n 科研（教学）项目、成果及专利等
1. 福建省自然科学基金-面上，2020J01708，模空间和Wiener混合空间的线性与多线性估计，2020-01 至2023-12, 5万元，在研，主持
2. 国家自然科学基金委员会，青年科学基金项目，11701112，频率分解空间的嵌入关系及其应用，2018-01至2020-12，20万元，结题，主持
3. 中国博士后科学基金，面上项目，2017M612628，Triebel型函数空间的嵌入关系及其应用，2018-01至2019-12，5万元，结题，主持
4. 国家自然科学基金委员会，天元专项基金，11826009，幂零群上的调和分析专题讲习班，2018-07至2018-12，20万元，结题，参加
5. 国家自然科学基金委员会，面上项目，11671414，Heisenberg群以及相关的幂零群上的一些分析问题的研究，2017-01至2020-12，48万元，在研，参加
n 发表论文及著作等情况
Time-frequency analysis：
1. Weichao Guo, J. Chen, D. Fan, G. Zhao*, Characterization of boundedness on weighted modulation spaces of τ -Wigner distributions, International Mathematics Research Notices, 2022.
2. G. Zhao, Weichao Guo*, Unimodular multipliers on α -modulation spaces: a revisit with new method, Annals of Functional Analysis, 2021, 12(1): 1-14.
3. Weichao Guo, G. Zhao*, Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces, Journal of Functional Analysis, 2020, 278 (6).
4. Weichao Guo*, J. Chen, D. Fan, G. Zhao, Characterization of some properties on weighted modulation spaces, Michigan Mathematical Journal, 2019, 68(3), 451- 482.
5. Weichao Guo*, D. Fan, G. Zhao, Full characterization of the embedding relations between α-modulation spaces, Science China Mathematics, 2018, 61(7), 1243- 1272.
6. Weichao Guo, D. Fan, H. Wu, G. Zhao*, Sharp weighted convolution inequalities and some application, Studia Math., 2018, 241(3), 201-239.
7. Weichao Guo*, H. Wu, Q. Yang, G. Zhao, Characterization of inclusion relations between wiener amalgam and some classical spaces, Journal of Functional Analysis, 2017, 273(1), 404-443.
8. Weichao Guo*, H. Wu, G. Zhao, Inclusion relations between modulation and TriebelLizorkin spaces. Proceedings of the American Mathematical, 2017, 145(11) 4807-4820.
9. Weichao Guo, D. Fan, H. Wu, G. Zhao*, Sharpness of Some Properties of Weighted Modulation Spaces, Science China Mathematics, 2016, 59(1) 169-190.
10. G. Zhao, J. Chen, D. Fan, Weichao Guo*, Sharp estimates of unimodular multipliers on frequency decomposition spaces, Nonlinear analysis, 2016, 142, 26-47.
11. G. Zhao, D. Fan, Weichao Guo*, Fractional integral operators on alpha-modulation spaces, Mathematische Nachrichten, 2016, 289(10), 1288-1300.
12. G. Zhao, J. Chen, D. Fan, Weichao Guo*, Unimodular Fourier multipliers on homogeneous Besov spaces, Journal of Mathematical Analysis and Applications, 2015, 425(1), 536-547.
13. Weichao Guo, D. Fan, H. Wu, G. Zhao*, Sharpness of Complex Interpolation of α-Modulation Spaces, Journal of Fourier Analysis and Applications, 2015, 22(2): 427-461.
Singular integral and related topics：
1. Weichao Guo*, J. He, W. Wen*, H. Wu, D. Yang, Boundedness and compactness of commutators associated with lipschitz functions, Analysis and Applications, 2022.
2. G. Zhao, Weichao Guo*, Limiting Weak-Type Behaviors for Fractional Maximal Operators and Fractional Integrals with Rough Kernel, Mediterranean Journal of Mathematics, 2022.
3. Weichao Guo, W. Wen*, H. Wu, D. Yang, Variational characterizations of weighted Hardy spaces and weighted BMO spaces, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2021.12.
4. Weichao Guo, W. Wen*, H. Wu, D. Yang, On the compactness of oscillation and variation of commutators, Banach Journal of Mathematical Analysis, 2021, 15(2): 1-29.
5. Weichao Guo*, H. Wu, D. Yang, A revisit on the compactness of commutators, Canadian Journal of Mathematics, 2021, 73(6): 1667-1697.
6. Weichao Guo, J. He, H. Wu*, Limiting Weak-Type Behaviors for Certain Classical Operators in Harmonic Analysis, Potential Analysis, 2021, 54(2): 307-330.
7. Weichao Guo, J. Lian, H. Wu*, The unified theory for the necessity of bounded commutators and applications, The Journal of Geometric Analysis, 2020, 30(4): 3995-4035.
8. Weichao Guo, G. Zhao*, On relatively compact sets in quasi-Banach function spaces, Proceedings of the American Mathematical, 2020, 2020, 148(8): 3359-3373.
Hausdorff operators：
1. Weichao Guo, J. Luo, G. Zhao*, Matrix dilation and Hausdorff operators on modulation spaces, Mathematical Methods in the Applied Sciences, 2022.,
2. Weichao Guo, J. Ruan, G. Zhao*, The unboundedness of Hausdorff operators on quasi‐Banach spaces, Mathematical Methods in the Applied Sciences, 2021, 44(18): 14481-14491.
3. G. Zhao, Weichao Guo*, Hausdorff operators on Sobolev spaces W k, 1, Integral Transforms and Special Functions, 2019, 30(2): 97-111.
4. G. Zhao, D. Fan, Weichao Guo*, Hausdorff operators on modulation and Wiener amalgam spaces, Annals of Functional Analysis, 2018,9(3), 398-412.
n 荣誉奖励及参加学术团体的情况
2021年获集美大学南顺奖教金
更新于：2022年5月27日
