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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2 papers · 1 filter

math.CA2024

On a Carleson-Radon Transform (the non-resonant setting)

Martin Hsu, Victor Lie

Given a curve $γ = (t^{α_{1}}, t^{α_{2}}, t^{α_{3}})$ with $α = (α_{1}, α_{2}, α_{3}) \in R_{+}^{3}$ , we define the Carleson-Radon transform along $γ$ by the formula $$ C_{[\vecα]}…

math.CA2024

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…