Victor Lie

collaborators

3 papers

math.CA2026

On the resonant Carleson-Radon transform in all dimensions. The degree one resonant case

Martin Hsu, Victor Lie

In this paper, we provide the resolution of the degree one resonant case in all dimensions. Our main result reads as follows: for any dimension $D \geq 1$ set $\mathbf{X}(\mathbf{t}…

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…

On the resonant Carleson-Radon transform in all dimensions. The degree one resonant case

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

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