Research

My research lies broadly in harmonic analysis, with particular emphasis on time–frequency analysis, dyadic analysis, and their interactions with other fields. Recently, I have become interested in exploring how harmonic-analytic methods can be applied to problems in additive combinatorics and ergodic theory. In parallel, I also work on topics in complex function theory, focusing on dyadic techniques in complex settings and their extensions to various settings.

Here is my Google Scholar page.

My research is partially supported by NSF grant DMS 2555999 and Simons Travel grant MPS-TSM-00007213.

Preprints

• 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.

• Yongsheng Han, Bingyang Hu. On the parabolic H^p theory generated by (p, \infty)-atoms for 0<p<1. arXiv:2607.15427, 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.

• Bingyang Hu, Victor Lie. On the boundedness of the curved trilinear Hilbert transform and the curved n-linear maximal operator in the quasi-Banach regime. arXiv:2511.07373, 2025.

• Bingyang Hu, Lian Hu, Songxiao Li, Xiaojing Zhou. On the weighted Carleson embedding id: A_ω^p → L_μ^q for p > q in the unit ball of C^n. Preprint, 2025. Available upon request.

• Árpád Bényi, Bingyang Hu, Victor Lie. The Bilinear Hilbert–Carleson operator along curves. The purely non-zero curvature case. arXiv:2507.04467, 2025.

• Bingyang Hu, Ji Li, Nathan A. Wagner. Boundedness and compactness of Bergman projection commutators in two-weight setting. arXiv:2504.11312, to appear in J. Fourier Anal. Appl, 2026.

• Juntao Du, Bingyang Hu, Songxiao Li, and Xiaojing Zhou. Schatten Class Toeplitz Operators on radially weighted Derivative--type Hilbert Spaces: Full Characterizations and Applications. Preprint, 2025. Available upon request.

• Bingyang Hu, Victor Lie. On the curved Trilinear Hilbert transform. arXiv:2308.10706, 2023.

• Bingyang Hu, Dinghua Xu, and Yeyu Zhang. Global existence for the unstable Cahn–Hilliard equation in 2D with a shear flow. arXiv: 2109.05299, accepted for publication in J. Differential Equations, 2026.

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.

• Hu, Bingyang; Tu, Son N. T.; Zhang, Jianlu. Polynomial convergence rate for quasi-periodic homogenization of Hamilton-Jacobi equations and application to ergodic estimates. Comm. Partial Differential Equations 50 (2025), no. 1–2, 211–244.

• Feng, Yu; Hu, Bingyang; Xu, Xiaoqian; Zhang, Yeyu. Global existence of a non-local semilinear parabolic equation with advection and applications to shear flow. Commun. Math. Sci. 23 (2025), no. 2, 431–464.

• 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.

• Anderson, Theresa C.; Hu, Bingyang; Liu, Yu-Ru; Talmage, Alan. Bounds on 10th moments of (x, x³) for ellipsephic sets. Contemp. Math. 792 (2024), 125–132.

• Hu, Bingyang; Huo, Zhenghui; Lanzani, Loredana; Palencia, Kevin; Wagner, Nathan A. The commutator of the Bergman projection on strongly pseudoconvex domains with minimal smoothness. J. Funct. Anal. 286 (2024), no. 1, Paper No. 110177.

• Anderson, Theresa C.; Hu, Bingyang. On the general dyadic grids on Rᵈ. Canad. J. Math. 75 (2023), no. 4, 1147–1175.

• Anderson, Theresa C.; Hu, Bingyang. A structure theorem on intersections of general doubling measures and its applications. Int. Math. Res. Not. IMRN 2023, no. 9, 7423–7485.

• Feng, Yu; Hu, Bingyang; Xu, Xiaoqian. Dissipation enhancement for a degenerated parabolic equation. Commun. Math. Sci. 21 (2023), no. 1, 173–193.

• Gan, Chun; Hu, Bingyang; Khan, Ilyas. Dyadic decomposition of convex domains of finite type and applications. Math. Z. 301 (2022), no. 2, 1939–1962.

• Feng, Yu; Hu, Bingyang; Xu, Xiaoqian. Suppression of epitaxial thin film growth by mixing. J. Differential Equations 317 (2022), 561–602.

• Anderson, Theresa C.; Hu, Bingyang. Sharp Mei’s lemma with different bases. Results Math. 77 (2022), no. 2, Paper No. 69.

• Hu, Bingyang; Khoi, Le Hai. Sets of uniqueness, weakly sufficient sets and sampling sets for weighted spaces of holomorphic functions in the unit ball. Complex Anal. Oper. Theory 16 (2022), no. 1, Paper No. 3.

• Anderson, Theresa C.; Hu, Bingyang. A structure theorem on doubling measures with different bases. J. Math. Anal. Appl. 505 (2022), no. 1, Paper No. 125620.

• Hu, Bingyang; Huo, Zhenghui. Dyadic Carleson embedding and sparse domination of weighted composition operators on strictly pseudoconvex domains. Bull. Sci. Math. 173 (2021), Paper No. 103067.

• Anderson, Theresa C.; Hu, Bingyang; Roos, Joris. Sparse bounds for discrete singular Radon transforms. Colloq. Math. 165 (2021), no. 2, 199–217.

• Hu, Bingyang; Li, Songxiao. N(p,q,s)-type spaces in the unit ball of Cⁿ. IV: Atomic decomposition, Gleason’s problem and distance problems. Anal. Math. 47 (2021), no. 1, 123–148.

• Hu, Bingyang; Li, Songxiao; Shi, Yecheng; Wick, Brett D. Sparse domination of weighted composition operators on weighted Bergman spaces. J. Funct. Anal. 280 (2021), no. 6, Paper No. 108897.

• Hu, Bingyang; Li, Songxiao. N(p,q,s)-type spaces in the unit ball of Cⁿ (V): Riemann–Stieltjes operators and multipliers. Bull. Sci. Math. 166 (2021), Paper No. 102929.

• Hu, Bingyang; Li, Songxiao. Difference of weighted composition operators on weighted-type spaces in the unit ball. Anal. Math. 46 (2020), no. 3, 517–533.

• Hu, Bingyang; Li, Songxiao. N(p,q,s)-type spaces in the unit ball of Cⁿ (III): Various characterizations. Publ. Math. Debrecen 97 (2020), no. 1–2, 41–61.

• Anderson, Theresa C.; Hu, Bingyang; Jiang, Liwei; Olson, Connor; Wei, Zeyu. On the translates of general dyadic systems on R. Math. Ann. 377 (2020), no. 3–4, 911–933.

• Hu, Bingyang. Sparse domination of singular Radon transform. J. Math. Pures Appl. (9) 139 (2020), 235–316.

• Hu, Bingyang; Li, Songxiao. N(p,q,s)-type spaces in the unit ball of Cⁿ (I): basic properties and Hadamard gaps. Complex Var. Elliptic Equ. 65 (2020), no. 6, 956–976.

• Anderson, Theresa C.; Hu, Bingyang. A unified method for maximal truncated Calderón–Zygmund operators in general function spaces by sparse domination. Proc. Edinb. Math. Soc. (2) 63 (2020), no. 1, 229–247.

• Hu, Bingyang; Li, Songxiao. N(p,q,s)-type spaces in the unit ball of Cⁿ (II): Carleson measure and its application. Forum Math. 32 (2020), no. 1, 79–94.

• Hu, Bingyang; Ye, Dongxi. Sign-change of the Fourier coefficients of a Hauptmodul for Γ₀(2). Int. J. Number Theory 14 (2018), no. 8, 2269–2276.

• Hu, Bingyang; Khoi, Le Hai; Le, Trieu. On the structure of Np-spaces in the ball. Acta Math. Vietnam. 43 (2018), no. 3, 433–448.

• Doan, Minh Luan; Hu, Bingyang; Khoi, Le Hai; Queffélec, Hervé. Approximation numbers for composition operators on spaces of entire functions. Indag. Math. (N.S.) 28 (2017), no. 2, 294–305.

• Hu, Bingyang; Li, Songxiao. Hadamard gap series in weighted-type spaces on the unit ball. Ann. Funct. Anal. 8 (2017), no. 2, 259–269.

• Hu, Bingyang; Khoi, Le Hai; Zhao, Ruhan. Topological structure of the spaces of composition operators on Hilbert spaces of Dirichlet series. Z. Anal. Anwend. 35 (2016), no. 3, 267–284.

• Hu, Bingyang; Khoi, Le Hai; Le, Trieu. Composition operators between Np-spaces in the ball. North-West. Eur. J. Math. 2 (2016), 103–120.

• Hu, Bingyang; Li, Songxiao. Np-type functions with Hadamard gaps in the unit ball. Complex Var. Elliptic Equ. 61 (2016), no. 6, 843–853.

• Hu, Bingyang; Khoi, Le Hai; Le, Trieu. Essential norms of weighted composition operators on Np-spaces in the ball. Vietnam J. Math. 44 (2016), no. 2, 431–439.

• Hu, Bingyang; Khoi, Le Hai; Zhu, Kehe. Frames and operators in Schatten classes. Houston J. Math. 41 (2015), no. 4, 1191–1219.

• Hu, Bingyang; Khoi, Le Hai. Compact difference of weighted composition operators on Np-spaces in the ball. Rev. Roumaine Math. Pures Appl. 60 (2015), no. 2, 101–116.

• Hu, Bingyang; Khoi, Le Hai. Weighted-composition operators on Np-spaces in the ball. C. R. Math. Acad. Sci. Paris 351 (2013), no. 19–20, 719–723.

• Hou, Xiaolu; Hu, Bingyang; Khoi, Le Hai. Hilbert spaces of entire Dirichlet series and composition operators. J. Math. Anal. Appl. 401 (2013), no. 1, 416–429.

• Hu, Bingyang; Khoi, Le Hai. Numerical range of composition operators on Hilbert spaces of entire Dirichlet series. In: Science and Technics Publishing House, Hanoi, 2012, 285–299.

• Hou, Xiaolu; Hu, Bingyang; Khoi, Le Hai. Composition operators on Hilbert spaces of entire Dirichlet series. C. R. Math. Acad. Sci. Paris 350 (2012), no. 19–20, 875–878.

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