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Xiaojing Zhou
Xiaojing Zhou
Postdoctoral Fellow, Department of Mathematics and Statistics
Postdoctoral Fellow, Department of Mathematics and Statistics
Auburn University
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.
Publications
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
Preprints
Hu, Bingyang; Zhou, Xiaojing. From complex-analytic models to dyadic methods: a real-variable approach to hypersingular operators. arXiv: 2512.24972, 2025, submitted.
Du, Juntao; Hu, Bingyang; Li, Songxiao; Zhou, Xiaojing. Schatten Class Toeplitz Operators on radially weighted Derivative--type Hilbert Spaces: Full Characterizations and Applications. Preprint, 2025, submitted, Available upon request.
Hu, Bingyang; Hu, Lian; Li, Songxiao; Zhou, Xiaojing. On the weighted Carleson embedding id: A_ω^p → L_μ^q for p > q in the unit ball of C^n. Preprint, 2025, submitted, Available upon request.
Hu, Bingyang; Zhou, Xiaojing. On the Möbius Invariant Function Spaces in Quaternionic Setting, Preprint, 2026, submitted, Available upon request.
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