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

2024/12/11 by Estefanía Dalmasso, Dalmasso, Estefanía, Gabriela R. Lezama +3
Mathematics · #42B20 #42B25 #42B35 (Primary) 35J10 (Secondary) #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2412.08566

openalex publication_date 2024/12/11 · openalex created_date 2024/12/13 · openalex updated_date 2026/07/28

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 Schrödinger operator -Δ+ μ, where μ is a nonnegative Radon measure in ℝ^d, for d≥ 3.

Related

• Weights of Exponential Growth and Decay for Schrödinger-type operators
• Weighted norm estimates of noncommutative Calderón-Zygmund operators
• Characterization of infinitesimal boundedness of Schrödinger operator
• Weighted bounds for multilinear operators with non-smooth kernels
• Exponential decay estimates for fundamental solutions of Schrödinger-type operators