Yixuan Pang

collaborators

5 papers

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 $I^\pm$ -dimensional fractal measures on $R^{2}$ , using circle tangency bounds when $I^\pm \in (0, 1]$ and a $I^´$ -…

math.CA2026

Sharp restriction estimates for some degenerate higher codimensional quadratic surfaces

Zhenbin Cao, Changxing Miao, Yixuan Pang

The Fourier restriction conjecture is a fundamental problem in harmonic analysis. In this paper, we investigate restriction estimates for degenerate higher codimensional quadratic…

math.CA2025

A weighted formulation of refined decoupling and inequalities of Mizohata-Takeuchi-type for the moment curve

Anthony Carbery, Zane Kun Li, Yixuan Pang +1

Let $I^$ be a compact patch of a well-curved $C^{n + 1}$ curve in $R^{n}$ with induced Lebesgue measure $d I^»$ , and let $g \mapsto g d I^»$ be the Fourie…

math.CA2025

Weighted $L^{2}$ restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions

Zhenbin Cao, Jingyue Li, Changxing Miao +1

We systematically study weighted $L^{2}$ restriction for quadratic manifolds of arbitrary codimensions by sharp uniform Fourier decay estimates and a refinement of the Du-Zhang metho…

math.CA2024

A short proof of an identity related to Type IV superorthogonality