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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.24568 |
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| _version_ | 1866916769093910528 |
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| author | Pan, Yucheng Sun, Wenchang |
| author_facet | Pan, Yucheng Sun, Wenchang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_24568 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the rate of convergence for Landau type Schrödinger Operators Pan, Yucheng Sun, Wenchang Analysis of PDEs 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. |
| title | On the rate of convergence for Landau type Schrödinger Operators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2505.24568 |