Martin Hsu

activity

20232026

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Showing 2024Show all

3 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

Smoothing inequalities for corner-type bilinear averages: geometric characterization and applications

Martin Hsu, Fred Yu-Hsiang Lin

We study Sobolev smoothing inequalities for bilinear averages associated with corner-type configurations \[ A_{γ,ρ}(f_1,f_2)(x_1,x_2) =\int f_1(x_1+γ_1(t),x_2)f_2(x_1,x_2+γ_2(t))ρ(…

math.CA2024

A sharp Hörmander condition for bilinear Fourier multipliers with Lipschitz singularities

Jiao Chen, Martin Hsu, Fred Yu-Hsiang Lin

This paper studies the $L^{p}$ boundedness of bilinear Fourier multipliers in the local $L^{2}$ range. We assume a Hörmander condition relative to a singular set that is a finite u…