Victor Lie

activity

20072026

most citedMaximal operators and Hilbert transforms along variable non-flat homogeneous curves

35 citations · 111 across the 20 of their papers we have counts for

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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…

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