-Boundedness of the Covariant Riesz Transform on Differential Forms for
by Li-Juan Cheng, Anton Thalmaier and Feng-Yu Wang
The -boundedness for 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 (2023).
As an application, the Calderón-Zygmund inequality for is derived on weighted manifolds, which extends the recent work of Cao, Cheng and Thalmaier on manifolds without weight.
The paper is available here:
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