Shaoming Guo

activity

20142026

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

35 citations · 210 across the 41 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CA2022

A restricted projection problem for fractal sets in $R^{n}$

Shengwen Gan, Shaoming Guo, Hong Wang

Let $γ : [- 1, 1] \to R^{n}$ be a smooth curve that is non-degenerate. Take $m \leq n$ and a Borel set $E \subset [0, 1]^{n}$ . We prove that the orthogonal projection of $E$ to the…

math.CA2022

A dichotomy for Hörmander-type oscillatory integral operators

Shaoming Guo, Hong Wang, Ruixiang Zhang

In this paper, we first generalize the work of Bourgain and state a curvature condition for Hörmander-type oscillatory integral operators, which we call Bourgain's condition. This…

math.CA2022★ 3 cited

On restricted projections to planes in $R^{3}$

Shengwen Gan, Shaoming Guo, Larry Guth +3

Let $γ : [0, 1] \to S^{2}$ be a non-degenerate curve in $R^{3}$ , that is to say, $det (γ (θ), γ^{'} (θ), γ " (θ)) \neq = 0$ . For each $θ \in [0, 1]$ , let $V_θ=γ(θ)^\pe…

A restricted projection problem for fractal sets in Rn

A dichotomy for Hörmander-type oscillatory integral operators

On restricted projections to planes in R3

A restricted projection problem for fractal sets in $R^{n}$

On restricted projections to planes in $R^{3}$