Yixuan Pang

activity

20232026

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math.CA2026

The Kakeya problem for codimension-two planes in $R^{n}$

Chun-Kit Lai, Yixuan Pang, Rahul Sethi +1

We study the $(n - 2)$ -plane Kakeya problem in $R^{n}$ ( $n \geq 4$ ) subject to convex Wolff axioms. In other words, we study finite families of $δ$ -neighborhoods of $(n - 2)$ -plan…

math.CA2026

Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation

Yixuan Pang, Chenjian Wang

We prove mixed-norm estimates for circular averages with respect to $α$ -dimensional fractal measures on $R^{2}$ , using circle tangency bounds when $α \in (0, 1]$ and a $δ$ -dis…

The Kakeya problem for codimension-two planes in Rn

Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation

The Kakeya problem for codimension-two planes in $R^{n}$