Lp boundedness, r-nuclearity and approximation of pseudo-differential operators on $\hbar\mathbb{Z}^n$
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916752530604032 |
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| author | Lopez, Juan Pablo |
| author_facet | Lopez, Juan Pablo |
| contents | 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 $\hbar\mathbb{Z}^n$. In addition, these conditions allow us to obtain growth estimates for the eigenvalues of some elliptic operators, in particular perturbed discrete Schrödinger operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_16812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lp boundedness, r-nuclearity and approximation of pseudo-differential operators on $\hbar\mathbb{Z}^n$ Lopez, Juan Pablo Analysis of PDEs Numerical Analysis 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 $\hbar\mathbb{Z}^n$. In addition, these conditions allow us to obtain growth estimates for the eigenvalues of some elliptic operators, in particular perturbed discrete Schrödinger operator. |
| title | Lp boundedness, r-nuclearity and approximation of pseudo-differential operators on $\hbar\mathbb{Z}^n$ |
| topic | Analysis of PDEs Numerical Analysis |
| url | https://arxiv.org/abs/2505.16812 |