14 citations · 23 across the 13 of their papers we have counts for
6 papers · 1 filter
On the strict majorant property in arbitrary dimensions
Philip T. Gressman, Shaoming Guo, Lillian B. Pierce +2
In this work we study -dimensional majorant properties. We prove that a set of frequencies in satisfies the strict majorant property on for all $p…
The Bochner-Riesz problem: an old approach revisited
Shaoming Guo, Changkeun Oh, Hong Wang +2
We show that the recent techniques developed to study the Fourier restriction problem apply equally well to the Bochner-Riesz problem. This is achieved via applying a pseudo-confor…
Improved discrete restriction for the parabola
Shaoming Guo, Zane Kun Li, Po-Lam Yung
Using ideas from Guth-Maldague-Wang and working over , we show that the discrete restriction constant for the parabola is $O_{\varepsilon}((\log M)^{2 + \varepsilon})…
A stationary set method for estimating oscillatory integrals
Saugata Basu, Shaoming Guo, Ruixiang Zhang +1
We propose a new method of estimating oscillatory integrals, which we call a stationary set method. We use it to obtain the sharp convergence exponents of Tarry's problems in dimen…
Sharp bounds for the helical maximal function
David Beltran, Shaoming Guo, Jonathan Hickman +1
We establish the boundedness of the helical maximal function for the sharp range . Our results improve the previous known bounds for . The key ingredi…
Sobolev improving for averages over curves in
David Beltran, Shaoming Guo, Jonathan Hickman +1
We study -Sobolev improving for averaging operators given by convolution with a compactly supported smooth density on a non-degenerate curve. In particular, in 4 d…