Quantitative Weighted Estimates for Schrödinger Pseudo-Multipliers and its Commutators
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915566160183296 |
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| author | Bagchi, Sayan Basak, Riju Singh, Joydwip Vempati, Manasa N. |
| author_facet | Bagchi, Sayan Basak, Riju Singh, Joydwip Vempati, Manasa N. |
| contents | In this article, we investigate the unweighted and weighted $L^p$-boundedness of pseudo-multipliers associated with a class of Schrödinger operators. The weight classes we consider are tailored to this framework and strictly contain the classical Muckenhoupt $A_p$-classes. To establish the weighted boundedness, we prove a quantitative version of reverse Hölder's inequality and quantitative weighted estimates for general sparse operators, which are of independent interest. We also study commutators of Schrödinger pseudo-multipliers, establishing their boundedness and compactness results on these weighted $L^p$-spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18219 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative Weighted Estimates for Schrödinger Pseudo-Multipliers and its Commutators Bagchi, Sayan Basak, Riju Singh, Joydwip Vempati, Manasa N. Analysis of PDEs In this article, we investigate the unweighted and weighted $L^p$-boundedness of pseudo-multipliers associated with a class of Schrödinger operators. The weight classes we consider are tailored to this framework and strictly contain the classical Muckenhoupt $A_p$-classes. To establish the weighted boundedness, we prove a quantitative version of reverse Hölder's inequality and quantitative weighted estimates for general sparse operators, which are of independent interest. We also study commutators of Schrödinger pseudo-multipliers, establishing their boundedness and compactness results on these weighted $L^p$-spaces. |
| title | Quantitative Weighted Estimates for Schrödinger Pseudo-Multipliers and its Commutators |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2510.18219 |