Tiklung Chan

activity

20242026

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math.CA2026

The $(n - 1)$ -linear restriction estimate in $R^{n}$ with degenerate curvature

Ioan Bejenaru, Tiklung Chan

We revisit the $(n - 1)$ -linear restriction estimate in $R^{n}$ proved by the first author in \cite{Be-6} and refine the result in the case when the curvature assumptions cont…

math.CA2025

Restriction and Kakeya maximal estimates in $R^{4}$

Tainara Borges, Tiklung Chan, Mingfeng Chen +3

By combining the planebrush argument of Katz and Zahl \cite{katz21} with the decoupling-incidence method of Wang and Wu \cite{WangWu2024}, we derive new bounds for the Fourier rest…

math.CA2024

A study guide for the $ℓ^{2}$ decoupling theorem for the paraboloid

Ataleshvara Bhargava, Tiklung Chan, Zi Li Lim +1

This article serves as a study guide for the $ℓ^{2}$ decoupling theorem for the paraboloid originally proved by Bourgain and Demeter. Given its popularity and importance, many exp…

The (n−1)-linear restriction estimate in Rn with degenerate curvature

Restriction and Kakeya maximal estimates in R4

A study guide for the ℓ2 decoupling theorem for the paraboloid

The $(n - 1)$ -linear restriction estimate in $R^{n}$ with degenerate curvature

Restriction and Kakeya maximal estimates in $R^{4}$

A study guide for the $ℓ^{2}$ decoupling theorem for the paraboloid