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 general domains as well as to non-commutative settings.
Here is my Google Scholar page.
Preprints
• 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, submitted, 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, 2025.
• Juntao Du, Bingyang Hu, Songxiao Li, and Xiaojing Zhou. Schatten class of Toeplitz operators on weighted Dirichlet spaces in the unit ball of C^n. Preprint, in preparation, 2025.
• Bingyang Hu, Victor Lie. On the curved Trilinear Hilbert transform. arXiv:2308.10706, 2023.
• Bingyang Hu. Global existence for the unstable Cahn–Hilliard equation in 2D with a shear flow. arXiv:2109.05299, 2021.
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.