Covariant Riesz transform on differential forms for
by Li-Juan Cheng, Anton Thalmaier and Feng-Yu Wang
Abstract
In this paper, we study -boundedness () of the covariant Riesz transform on differential forms for a class of non-compact weighted Riemannian manifolds without assuming conditions on derivatives of curvature. We present in particular a local version of -boundedness of
Riesz transforms under two natural conditions, namely the curvature-dimension condition, and a
lower bound on the Weitzenböck curvature endomorphism. As an application, the Calderón-Zygmund inequality for on weighted manifolds is derived under the curvature-dimension condition as hypothesis.
Calc. Var. Partial Differential Equations 62 (2023), no. 9, Art. 245, 23 pp
https://doi.org/10.1007/s00526-023-02583-7
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