$L^p$-Boundedness of the Covariant Riesz Transform on Differential Forms for $p>2$
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915617741733888 |
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| author | Cheng, Li-Juan Thalmaier, Anton Wang, Feng-Yu |
| author_facet | Cheng, Li-Juan Thalmaier, Anton Wang, Feng-Yu |
| contents | The $L^p$-boundedness for $p>2$ of the covariant Riesz transform on differential forms is proved for a class of non-compact weighted Riemannian manifolds under certain curvature and volume growth conditions, which in particular settles a conjecture of Baumgarth, Devyver and Güneysu~\cite{BDG-23}. As an application, the Calderón-Zygmund inequality for $p> 2$ is derived on weighted manifolds, which extends the recent work \cite{CCT} on manifolds without weight. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10922 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $L^p$-Boundedness of the Covariant Riesz Transform on Differential Forms for $p>2$ Cheng, Li-Juan Thalmaier, Anton Wang, Feng-Yu Differential Geometry The $L^p$-boundedness for $p>2$ of the covariant Riesz transform on differential forms is proved for a class of non-compact weighted Riemannian manifolds under certain curvature and volume growth conditions, which in particular settles a conjecture of Baumgarth, Devyver and Güneysu~\cite{BDG-23}. As an application, the Calderón-Zygmund inequality for $p> 2$ is derived on weighted manifolds, which extends the recent work \cite{CCT} on manifolds without weight. |
| title | $L^p$-Boundedness of the Covariant Riesz Transform on Differential Forms for $p>2$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2511.10922 |