调和分析

泛函分析，复变函数

1. J. Chen, G. Lu, Hörmander type theorem on Bi-parameter Hardy spaces for Fourier multipliers with optimal smoothness, Revista Matemtica Iberoamericana, (2018).

2. J. Chen, L. Huang and G. Lu, Fourier multiplier theorems on optimal regularity in the bi-parameterBesov spaces, Mathematical Research Letters,(2021).

3. J. Chen, D. He, B. Park, G. Lu and L. Zhang, A sharp Hörmander estimate for multi-parameter and multi-linear Fourier multiplier operators, to appear in Math Ann

4. J. Chen, M. Hsu, F. Lin, A sharp Hörmander condition for bilinear Fourier multipliers with Lipschitz singularities, Arxiv:2403.04721.

5. M. Cao, J. Chen, Z. Li, F. Liao, K. Yabuta, Juan. Zhang, A compact T1 theorem for singular integrals associated with Zygmund dilations,Arxiv:2307.13932.

国家自然科学基金委员会, 青年科学基金项目, 11801049, 乘子算子以及奇异积分算子在局部乘积 Hardy空间上的有界性, 2019-01-01 至 2021-12-31, 21万元, 结题, 主持。