English

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

Analysis of PDEs 2025-09-05 v4

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 Δ+μ-\Delta + \mu, where μ\mu is a nonnegative Radon measure in Rd\mathbb{R}^d, for d3d\geq 3.

Keywords

Cite

@article{arxiv.2412.08566,
  title  = {Weighted estimates for Schr\"odinger-Calder\'on-Zygmund operators with exponential decay},
  author = {Estefanía Dalmasso and Gabriela R. Lezama and Marisa Toschi},
  journal= {arXiv preprint arXiv:2412.08566},
  year   = {2025}
}