Zhenbin Cao

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20242026

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math.CA2026

$L^{p}$ Decay Estimates for Circular Means of Fractal Measures in $R^{2}$

Zhenbin Cao, Feilong Guo, Junfeng Li

In this paper, we investigate weighted $L^{p} \to L^{q}$ restriction estimates for the Fourier extension operator associated with planar curves of non-vanishing curvature. More…

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

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…

Lp Decay Estimates for Circular Means of Fractal Measures in R2

Weighted L2 restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions

Sharp restriction estimates for some degenerate higher codimensional quadratic surfaces

$L^{p}$ Decay Estimates for Circular Means of Fractal Measures in $R^{2}$

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