Hongyan Zhou

works on

fractional powers 1 kernel estimates 1 lorentz spaces 1 schrodinger operators 1 weighted inequalities 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.AP2026

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

Haochen Liu, Qinghao Yu, Hongyan Zhou

The paper derives sharp two‑sided estimates for the kernel of fractional powers of radial Schrödinger operators with inverse‑square type potentials, and provides a complete classif…

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 $H_{a} = - I^ + a ∣ x ∣^{- 2}$ 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 posit…