Po‐Lam Yung

activity

20102021

most citedA polynomial Carleson operator along the paraboloid

2 citations · 2 across the 4 of their papers we have counts for

collaborators

10 papers

math.NT2021

Improved discrete restriction for the parabola

Shaoming Guo, Zane Kun Li, Po-Lam Yung

Using ideas from Guth-Maldague-Wang and working over $Q_{p}$ , we show that the discrete restriction constant for the parabola is $O_{\varepsilon}((\log M)^{2 + \varepsilon})…

math.CA2021

A new formula for the $L^{p}$ norm

Qingsong Gu, Po-Lam Yung

Recently, Brezis, Van Schaftingen and the second author established a new formula for the $W ˙^{1, p}$ norm of a function in $C_{c}^{\infty} (R^{N})$ . The formula was obtain…

math.CA2019

A bilinear proof of decoupling for the cubic moment curve

Shaoming Guo, Zane Kun Li, Po-Lam Yung

Using a bilinear method that is inspired by the method of efficient congruencing of Wooley [Woo16], we prove a sharp decoupling inequality for the moment curve in $R^{3}$ .

math.CA2019

Maximal functions associated with families of homogeneous curves: $L^{p}$ bounds for $p \leq 2$

Shaoming Guo, Joris Roos, Andreas Seeger +1

Let $M^{(u)}$ , $H^{(u)}$ be the maximal operator and Hilbert transform along the parabola $(t, u t^{2})$ . For $U \subset (0, \infty)$ we consider $L^{p}$ estimates for the maximal functio…

math.CA2019

A maximal function for families of Hilbert transforms along homogeneous curves

Shaoming Guo, Joris Roos, Andreas Seeger +1

Let $H^{(u)}$ be the Hilbert transform along the parabola $(t, u t^{2})$ where $u \in R$ . For a set $U$ of positive numbers consider the maximal function $\mathcal{H}^U \!f= \s…

math.CV2018

Solution of the tangential Kohn Laplacian on a class of non-compact CR manifolds

Chin-Yu Hsiao, Po-Lam Yung

We solve $□_{b}$ on a class of non-compact 3-dimensional strongly pseudoconvex CR manifolds via a certain conformal equivalence. The idea is to make use of a related $\square_b…

Improved discrete restriction for the parabola

A new formula for the Lp norm

A bilinear proof of decoupling for the cubic moment curve

Maximal functions associated with families of homogeneous curves: Lp bounds for p≤2

A maximal function for families of Hilbert transforms along homogeneous curves

Solution of the tangential Kohn Laplacian on a class of non-compact CR manifolds

A new formula for the $L^{p}$ norm

Maximal functions associated with families of homogeneous curves: $L^{p}$ bounds for $p \leq 2$