Derivative estimates of semigroups and Riesz transforms on vector bundles
by Anton Thalmaier and Feng-Yu Wang

We use versions of Bismut type derivative formulas obtained by Driver-Thalmaier (2001), to prove derivative estimates for various heat semigroups on Riemannian vector bundles. As an application, the weak (1,1) property for a class of Riesz transforms on a vector bundle is established. Some concrete examples of vector bundles (e.g. differential forms) are considered to illustrate the results.

Potential Analysis 20 (2004) 105-123   [ORIGINAL ARTICLE]

The paper is available here:

Anton Thalmaier
Feng-Yu Wang

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