Xiaojing Zhou

About me

Xiaojing Zhou

Postdoctoral Fellow, Department of Mathematics and Statistics

Auburn University

Hi! I am a Postdoctoral Fellow in the Department of Mathematics and Statistics at Auburn University, working with Prof. Yongsheng Han and Prof. Bingyang Hu. I earned my Ph.D. in Mathematics from Shantou University in 2024.

My research is at the intersection of Functional Analysis, Complex Analysis, and Operator Theory. I am particularly interested in:

The behavior of various operators (such as composition, Toeplitz, and Hankel operators) acting on these spaces;
Applications of harmonic analysis techniques in complex function theory.

Here is my Google Scholar page.

Publications

Hu, Bingyang; Zhou, Xiaojing. Near-Endpoint Carleson Embedding of Qs and F(p,q,s) into Tent Spaces, and its Applications to Compositions of Analytic Paraproducts. J. Fourier Anal. Appl. 31 (2025), no. 4, Paper No.60.
Zhou, Xiaojing. On a generalized Möbius invariant function space, J. Math. Anal. Appl. 543 (2025), no.2, Paper No. 128979.
Du, Juntao; Hu, Bingyang; Li, Songxiao; Zhou, Xiaojing. Toeplitz operators on Bergman spaces induced by doubling weights in the unit ball of Cⁿ. J. Math. Anal. Appl. 544 (2025), no. 2, Paper No. 129077.
Lou, Zengjian; Zhou, Xiaojing. Some operators on minimal alpha-Möbius invariant function spaces. Complex Anal. Oper. Theory. 18 (2024), no. 6, Paper No. 144.
Hu, Qinghua; Zhou, Xiaojing. Stevic-Sharma type operators from H^\infty into the Bloch space. J. Math. Inequal. 18 (2024), no. 2, 489–517.
Bao, Guanlong; Lou, Zengjian; Zhou, Xiaojing. Duality for alpha-Möbius invariant Besov spaces. Banach J. Math. Anal. 17 (2023), no.3, Paper No. 60, 18 pp.
Bao, Guanlong; Lou, Zengjian; Zhou, Xiaojing. Closure in the logarithmic Bloch norm of Dirichlet type spaces. Complex Anal. Oper. Theory. 15 (2021), no. 4, Paper No. 74, 16 pp.

Preprints

Xiaojing Zhou. An endpoint estimate for Fourier transforms vanishing on curved hypersurfaces: a solution to a problem of Goldberg. ResearchGate, DOI: 10.13140/RG.2.2.34663.61601, 2026.
Bingyang Hu, Zipeng Wang, Kenan Zhang, Xiaojing Zhou. Cancellation of complex kernels and sharp crtical lines and endpoint theory for the Forelli-Rudin operators I: the purely hypersingular case. arXiv: 2609.14552, 2026.
Bingyang Hu, Xiaojing Zhou. A full characterization of the Dirichlet Carleson embedding id: D_{p-1}^p \to L^p(\mu) for p>2. arXiv: 2608.31134, 2026.
Bingyang Hu, Jie Xiao, Xiaojing Zhou. A counterexample to the Liu--Lou--Zhu Qp--Carleson embedding conjecture. arXiv: 2608.04981, 2026.
Bingyang Hu, Shuaibing Luo, Jie Xiao, Xiaojing Zhou. On the holomorphic differential operator d/dz: Q_K \to L^q(WdA). arXiv:2607.28366, 2026.
Bingyang Hu, Jie Xiao, Xiaojing Zhou. On the growth of Bloch functions. arXiv:2607.23399, 2026.
Árpád Bényi, Bingyang Hu, Xiaojing Zhou. On the Bourgain--Brezis--Mironescu spaces over Carleson tents. arXiv:2606.28292, 2026.
Bingyang Hu, Xiaojing Zhou. On the Bloch and Qp Carleson measure problems. arXiv:2606.16760, 2026.
Bingyang Hu, Xiaojing Zhou. A non-testing characterization of bounded and compact composition operators on Qp spaces. arXiv: 2606.08907, 2026. (This paper answers a longstanding question in complex function theory concerning Qp spaces. See, for instance here).
Bingyang Hu, Xiaojing Zhou. From complex-analytic models to dyadic methods: a real-variable approach to hypersingular operators. arXiv: 2512.24972, 2025, submitted.
Bingyang Hu, Xiaojing Zhou. On the Möbius Invariant Function Spaces in Quaternionic Setting, Preprint, 2026, submitted, Available upon request.

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