Bingyang Hu

activity

20242026

collaborators

6 papers

math.CA2026

On the parabolic $H^{p}$ theory generated by $(p, \infty)$ -atoms for $0 < p < 1$

Yongsheng Han, Bingyang Hu

We study the parabolic maximal operator $M_{par}$ along the moment curve $(t, t^{2})$ . In 1988, Christ proved that $M_{par}$ maps the parabolic Hardy space $H_{\text…

math.CA2026

On the Bourgain--Brezis--Mironescu spaces over Carleson tents

ÃrpÃ¡d BÃ©nyi, Bingyang Hu, Xiaojing Zhou

We introduce Carleson analogs of the Bourgain--Brezis--Mironescu spaces $B$ and $B_{0}$ by measuring mean oscillation over upper Carleson tents. For these spaces, denoted by $B_{\mat…

math.CA2025

Boundedness and compactness of Bergman projection commutators in two-weight setting

Bingyang Hu, Ji Li, Nathan A. Wagner

The goal of this paper is to study the boundedness and compactness of the Bergman projection commutators in two weighted settings via the weighted BMO and VMO spaces, respectively.…

math.CA2025

On the boundedness of the curved trilinear Hilbert transform and the curved $n -$ linear maximal operator in the quasi-Banach regime

Bingyang Hu, Victor Lie

Let $n \in N$ , $I^\pm = (I^\pm_{1}, \dots, I^\pm_{n}) \in (0, \infty)^{n}$ , $I^^{2} = (I^_{1}^{2}, \dots, I^_{n}^{2}) \in (R ∖ {0})^{n}$ , $\vec{f}:=(f_1,\ldots, f_n)\in \mathcal{S}^n(\mathbb…

math.CA2025

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case

In this paper, we provide the maximal boundedness range (up to end-points) for the Bilinear Hilbert-Carleson operator along curves in the (purely) non-zero curvature setting. More…

math.AP2024

Polynomial Convergence Rate for Quasi-Periodic Homogenization of Hamilton-Jacobi Equations and Application to Ergodic Estimates

Bingyang Hu, Son N. T. Tu, Jianlu Zhang

In this paper, we demonstrate a polynomial convergence rate for homogenization of Hamilton-Jacobi equations with quasi-periodic potentials. We establish a connection between the co…

On the parabolic Hp theory generated by (p,∞)-atoms for 0<p<1

On the Bourgain--Brezis--Mironescu spaces over Carleson tents

Boundedness and compactness of Bergman projection commutators in two-weight setting

On the boundedness of the curved trilinear Hilbert transform and the curved n−linear maximal operator in the quasi-Banach regime

The Bilinear Hilbert-Carleson operator along curves. The purely non-zero curvature case

Polynomial Convergence Rate for Quasi-Periodic Homogenization of Hamilton-Jacobi Equations and Application to Ergodic Estimates

On the parabolic $H^{p}$ theory generated by $(p, \infty)$ -atoms for $0 < p < 1$

On the boundedness of the curved trilinear Hilbert transform and the curved $n -$ linear maximal operator in the quasi-Banach regime