Lp boundedness, r-nuclearity and approximation of pseudo-differential operators on $\hbar\mathbb{Z}^n$
Analysis of PDEs
2025-05-23 v1 Numerical Analysis
Numerical Analysis
Abstract
In this work sufficient conditions on the order of the symbol are developed to ensure boundedness, compactness and r-nuclearity of pseudo-differential operators in . In addition, these conditions allow us to obtain growth estimates for the eigenvalues of some elliptic operators, in particular perturbed discrete Schr\"odinger operator.
Keywords
Cite
@article{arxiv.2505.16812,
title = {Lp boundedness, r-nuclearity and approximation of pseudo-differential operators on $\hbar\mathbb{Z}^n$},
author = {Juan Pablo Lopez},
journal= {arXiv preprint arXiv:2505.16812},
year = {2025}
}