Weighted inequalities for variation operators associated with fractional Schrödinger semigroups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908539311620096 |
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| author | Chen, Yanhan |
| author_facet | Chen, Yanhan |
| contents | Let $\{e^{-tL^α}\}_{t>0}$ be the fractional Schrödinger semigroup associated with $L=-Δ+V$, where $V$ is a non-negatvie potential belonging to the reverse Hölder class. In this paper, we establish weighted boundedness properties of the variation operator related to $\{e^{-tL^α}\}_{t>0}$, including weighted $L^{p}-L^{q}$ quantitative inequalities and mixed weak-type inequalities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_11577 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weighted inequalities for variation operators associated with fractional Schrödinger semigroups Chen, Yanhan Classical Analysis and ODEs 42B25, 35J10 Let $\{e^{-tL^α}\}_{t>0}$ be the fractional Schrödinger semigroup associated with $L=-Δ+V$, where $V$ is a non-negatvie potential belonging to the reverse Hölder class. In this paper, we establish weighted boundedness properties of the variation operator related to $\{e^{-tL^α}\}_{t>0}$, including weighted $L^{p}-L^{q}$ quantitative inequalities and mixed weak-type inequalities. |
| title | Weighted inequalities for variation operators associated with fractional Schrödinger semigroups |
| topic | Classical Analysis and ODEs 42B25, 35J10 |
| url | https://arxiv.org/abs/2509.11577 |