$L^p$-Boundedness of the Covariant Riesz Transform on Differential Forms for $p>2$

Li-Juan Cheng, Anton Thalmaier, Feng-Yu Wang

We establish the \(L^p\)-boundedness, for \(p>2\), of the covariant Riesz transform \(\nabla(Δ_μ^{(k)}+σ)^{-1/2} \) on differential forms over a class of complete weighted Riemanni…