3 papers
math.CA2026
Decay Estimates for Circular Means of Fractal Measures in
Zhenbin Cao, Feilong Guo, Junfeng Li
In this paper, we investigate weighted restriction estimates for the Fourier extension operator associated with planar curves of non-vanishing curvature. More…
math.CA2025
Weighted restriction and comparison of nondegeneracy conditions for quadratic manifolds of arbitrary codimensions
Zhenbin Cao, Jingyue Li, Changxing Miao +1
We systematically study weighted 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…