Weighted mixed inequalities for commutators of Schrödinger type operators
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915081879552000 |
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| author | Berra, Fabio Pradolini, Gladis Recchi, Jorgelina |
| author_facet | Berra, Fabio Pradolini, Gladis Recchi, Jorgelina |
| contents | We obtain weighted mixed inequalities for the first order commutator of singular integral operators in the Schrödinger setting. Concretely, for $0<δ\leq 1$ we give estimates of commutators of Schrödinger-Calderón-Zygmund operators of $(s,δ)$ type with $1<s\leq \infty$, and $\text{BMO}(ρ)$ symbols associated to a critical radious function $ρ$.
Our results generalizes some previous estimates about mixed inequalities for Schrödinger type operators. We also deal with $A_p^ρ$ weights, which can be understood as a perturbation of the $A_p$ Muckenhoupt classes by means of function $ρ$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19900 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weighted mixed inequalities for commutators of Schrödinger type operators Berra, Fabio Pradolini, Gladis Recchi, Jorgelina Classical Analysis and ODEs 35J10, 42B20 We obtain weighted mixed inequalities for the first order commutator of singular integral operators in the Schrödinger setting. Concretely, for $0<δ\leq 1$ we give estimates of commutators of Schrödinger-Calderón-Zygmund operators of $(s,δ)$ type with $1<s\leq \infty$, and $\text{BMO}(ρ)$ symbols associated to a critical radious function $ρ$. Our results generalizes some previous estimates about mixed inequalities for Schrödinger type operators. We also deal with $A_p^ρ$ weights, which can be understood as a perturbation of the $A_p$ Muckenhoupt classes by means of function $ρ$. |
| title | Weighted mixed inequalities for commutators of Schrödinger type operators |
| topic | Classical Analysis and ODEs 35J10, 42B20 |
| url | https://arxiv.org/abs/2412.19900 |