Author

Manli Song

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Preprint Oct 2026

Endpoint weighted Fourier estimate with vanishing spherical trace

We establish an endpoint weighted Fourier estimate under a vanishing restriction condition on the unit sphere. Let $n \geq 2$ and $p_c = 2(n+1)/(n+3)$. We prove that every $f \in L^{p_c}(\mathbb{R}^n)$ with zero spherical Fourier restriction satisfies $$ \left\| \bigl|1-|\xi|^2\bigr|^{-1/2}\widehat{f}(\xi) \right\|_{L^...

Wen-Juan Li, Man-Li Song, Hong-Qiang Wang et al. · 0 citations

Preprint Jul 2026

Decay estimates for a class of dispersive equations with partial inverse-square potentials

Let $\mathcal{L}_a=-\Delta_x-\Delta_y+\frac{a}{2}|x|^{-2}$ with $a>0$ denote the Schr\"odinger operator on $L^2(\mathbb{R}^2_x\times \mathbb{R}^n_y)$, which involves a singular partial inverse-square potential. The purpose of this manuscript is twofold. First, relying on the explicit representation for the spectral mea...

Jiabin Qian, Manli Song · 0 citations