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 2020Show all

4 papers · 1 filter

math.CA2020★ 5 cited

Decoupling inequalities for quadratic forms

Shaoming Guo, Changkeun Oh, Ruixiang Zhang +1

We prove sharp $ℓ^{q} L^{p}$ decoupling inequalities for $p, q \in [2, \infty)$ and arbitrary tuples of quadratic forms. Connections to prior results on decoupling inequalities for qu…

math.CA2020

A variable coefficient multi-frequency lemma

Shaoming Guo, Pavel Zorin-Kranich

We show a variable coefficient version of Bourgain's multi-frequency lemma. It can be used to obtain major arc estimates for a discrete Stein--Wainger type operator considered by K…

math.CA2020

Fourier restriction estimates for surfaces of co-dimension two in $R^{5}$

Shaoming Guo, Changkeun Oh

We prove $L^{p} \to L^{q}$ Fourier restriction estimates for 3-dimensional quadratic surfaces in $R^{5}$ . Our results are sharp, up to endpoints, for a few classes of su…

math.CA2020

A restriction estimate for surfaces with negative Gaussian curvatures

Shaoming Guo, Changkeun Oh

We prove $L^{p}$ bounds for the Fourier extension operators associated to surfaces in $R^{3}$ with negative Gaussian curvatures for every $p > 3.25$ .

Decoupling inequalities for quadratic forms

A variable coefficient multi-frequency lemma

Fourier restriction estimates for surfaces of co-dimension two in R5

A restriction estimate for surfaces with negative Gaussian curvatures

Fourier restriction estimates for surfaces of co-dimension two in $R^{5}$