Weighted estimates for Schrödinger-Calderón-Zygmund operators with exponential decay

Abstract: In this work we obtain weighted boundedness results for singular integral operators with kernels exhibiting exponential decay. We also show that the classes of weights are characterized by a suitable maximal operator. Additionally, we study the boundedness of various operators associated with the generalized Schr\"odinger operator $-\Delta + \mu$, where $\mu$ is a nonnegative Radon measure in $\mathbb{R}<sup>d$, for $d\geq 3$.