Derivative Estimates of Semigroups and Riesz Transforms on Vector Bundles |
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| Authors: | Thalmaier Anton Wang Feng-Yu |
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| Affiliation: | (1) Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53115 Bonn, Germany (e-mail;(2) Department of Mathematics, Beijing Normal University, Beijing, 100875, P.R. China (e-mail |
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| Abstract: | We use versions of Bismut type derivative formulas obtained by Driver and Thalmaier [9], 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. |
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| Keywords: | Riesz transform semigroup vector bundle derivative estimate |
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