On the rate of convergence for Landau type Schr\"odinger Operators
Analysis of PDEs
2025-06-02 v1
Abstract
We study the pointwise convergence of Landau type Schr\"odinger operators within the fractional Sobolev space . Our results extend those established by Bailey (Rev. Mat. Iberoam., 29 (2): 531-546, 2013) and Yuan, Zhao and Zheng (Nonlinear Anal., 208: Paper No. 112312, 28, 2021). Furthermore, we also analyze the convergence rate of Landau type Schr\"odinger operators along curves and derive a sharp result for the case of convergence along vertical lines.
Keywords
Cite
@article{arxiv.2505.24568,
title = {On the rate of convergence for Landau type Schr\"odinger Operators},
author = {Yucheng Pan and Wenchang Sun},
journal= {arXiv preprint arXiv:2505.24568},
year = {2025}
}
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23 pages