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

Estefanía Dalmasso, Gabriela R. Lezama, Marisa Toschi

Published 2024-12-11, updated 2024-12-17Version 2

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 $\mathbb{R}^d$, for $d\geq 3$.