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arXiv · 2412.08566

Weighted estimates for Schr\"odinger-Calder\'on-Zygmund operators with exponential decay

Estefanía Dalmasso·Gabriela R. Lezama·Marisa Toschi
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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 $\mathbb{R}^d$, for $d\geq 3$.

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Estefanía Dalmasso, Gabriela R. Lezama, Marisa Toschi. 2024-12-11. Weighted estimates for Schr\"odinger-Calder\'on-Zygmund operators with exponential decay. https://arxiv.org/abs/2412.08566

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