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On the rate of convergence for Landau type Schr\"odinger Operators
Yucheng Pan, Wenchang Sun
https://arxiv.org/abs/2505.24568 https://

On the rate of convergence for Landau type Schrödinger Operators
We study the pointwise convergence of Landau type Schrödinger operators within the fractional Sobolev space $W^{s,p}(\mathbb R)$. 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 Schrödinger operators along curves and derive a sharp result for the case of convergence along vertical lines.