Aparajita Dasgupta

Weighted and Sobolev Estimates for Fractional Schr\"odinger Operators with Reverse H\"{o}lder Potentials

We study weighted and Sobolev estimates for two fractional Schr\"odinger operators on $\mathbb{R}^n$, where $n\geq3$ and $0<s<1$. For the additive operator $L=(-\Delta)^s+V$, with a nonnegative, nontrivial potential $V$ belonging to a suitable reverse H\"older class, $RH_q$, we establish a critical-radius form inequali...