Hongyan Zhou

collaborators

2 papers

math.AP2026

Sharp Broken-Power Lorentz Estimates for Fractional Powers of Radial Schrödinger Operators with Inverse-Square Asymptotics

Haochen Liu, Qinghao Yu, Hongyan Zhou

Let $H = - Δ + V (∣ x ∣)$ be a nonnegative radial Schrödinger operator on $R^{d}$ , $d \geq 2$ , whose positive harmonic function satisfies $U (r) ≃ r^{- σ_{0}}$ for $0 < r \leq 1$ and $U(r…

math.CA2026

Sharp and Endpoint Two-Weight Fractional Integral Estimates for Schr"odinger Operators with Inverse-Square Potentials

Haochen Liu, Qinghao Yu, Hongyan Zhou

Let $H_{a} = - Δ + a ∣ x ∣^{- 2}$ be the Friedrichs extension on $L^{2} (R^{d})$ , where $d \geq 3$ and $- (d - 2)^{2} /4 \leq a < 0$ lies in the attractive Hardy range. Starting from the known positi…