2 papers
math.CA2026
Rough averages of triangular Hilbert transforms
Fred Yu-Hsiang Lin, Lenka SlavÃková
We study a bilinear singular integral operator obtained by taking rough averages of certain directional variants of the triangular Hilbert transform. This operator can be interpret…
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,Ï}(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…