35 citations · 111 across the 20 of their papers we have counts for
21 papers
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 set $\mathbf{X}(\mathbf{t}…
On the boundedness of the curved trilinear Hilbert transform and the curved linear maximal operator in the quasi-Banach regime
Bingyang Hu, Victor Lie
Let , , , …
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…
On a Carleson-Radon Transform (the non-resonant setting)
Martin Hsu, Victor Lie
Given a curve with , we define the Carleson-Radon transform along by the formula $$ C_{[\vecα]}…
Non-zero to zero curvature transition: Operators along hybrid curves with no quadratic (quasi-)resonances
Alejandra Gaitan, Victor Lie
Building on arXiv:1902.03807, this paper develops a unifying study on the boundedness properties of several representative classes of hybrid operators, i.e. operators that enjoy bo…
On the curved Trilinear Hilbert transform
Bingyang Hu, Victor Lie
Building on the (Rank I) LGC-methodology introduced by the second author and on the novel perspective employed in the time-frequency discretization of the non-resonant bilinear Hil…