Bingyang Hu

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20242026

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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 $n \in N$ , $α = (α_{1}, \dots, α_{n}) \in (0, \infty)^{n}$ , $β = (β_{1}, \dots, β_{n}) \in (R ∖ {0})^{n}$ , $f := (f_{1}, \dots, f_{n}) \in S^{n} (R)$ …

math.CA2025

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

Árpád Bényi, Bingyang Hu, Victor Lie

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.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.…

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

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