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

Fuente: arXiv
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Main Authors: Dalmasso, Estefanía, Lezama, Gabriela R., Toschi, Marisa
Format: Preprint
Published: 2024
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author Dalmasso, Estefanía
Lezama, Gabriela R.
Toschi, Marisa
author_facet Dalmasso, Estefanía
Lezama, Gabriela R.
Toschi, Marisa
contents 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 Schrödinger operator $-Δ+ μ$, where $μ$ is a nonnegative Radon measure in $\mathbb{R}^d$, for $d\geq 3$.
format Preprint
id arxiv_https___arxiv_org_abs_2412_08566
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Weighted estimates for Schrödinger-Calderón-Zygmund operators with exponential decay
Dalmasso, Estefanía
Lezama, Gabriela R.
Toschi, Marisa
Analysis of PDEs
42B20, 42B25, 42B35 (Primary) 35J10 (Secondary)
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 Schrödinger operator $-Δ+ μ$, where $μ$ is a nonnegative Radon measure in $\mathbb{R}^d$, for $d\geq 3$.
title Weighted estimates for Schrödinger-Calderón-Zygmund operators with exponential decay
topic Analysis of PDEs
42B20, 42B25, 42B35 (Primary) 35J10 (Secondary)
url https://arxiv.org/abs/2412.08566