Tongou Yang

activity

20192024

collaborators

4 papers

math.CA2024

Sharp $ℓ^{q} (L^{p})$ decoupling for paraboloids

Tongou Yang

In this short expository note, we prove the following result, which is a special case of the main theorem in arXiv:2011.09451. For each $n \geq 2$ and $p, q \in [2, \infty]$ , we pro…

math.CA2021

Decoupling for mixed-homogeneous polynomials in $R^{3}$

Jianhui Li, Tongou Yang

We prove decoupling inequalities for mixed-homogeneous bivariate polynomials, which partially answers a conjecture of Bourgain, Demeter and Kemp.

math.CA2020

Uniform $l^{2}$ -decoupling in $R^{2}$ for Polynomials

Tongou Yang

For each positive integer $d$ , we prove a uniform $l^{2}$ -decoupling inequality for the collection of all polynomials phases of degree at most $d$ . Our result is intimately related t…

math.CA2019

On Sets Containing an Affine Copy of Bounded Decreasing Sequences

Tongou Yang

How small can a set be while containing many configurations? Following up on earlier work of Erd\H os and Kakutani \cite{MR0089886}, Máthé \cite{MR2822418} and Molter and Yavicoli…

Sharp ℓq(Lp) decoupling for paraboloids

Decoupling for mixed-homogeneous polynomials in R3

Uniform l2-decoupling in R2 for Polynomials

On Sets Containing an Affine Copy of Bounded Decreasing Sequences

Sharp $ℓ^{q} (L^{p})$ decoupling for paraboloids

Decoupling for mixed-homogeneous polynomials in $R^{3}$

Uniform $l^{2}$ -decoupling in $R^{2}$ for Polynomials