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arXiv · 1802.02410

Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles

Rodrigo Bañuelos·Fabrice Baudoin·Li Chen
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Abstract

This paper proves the $L^p$ boundedness of generalized first order Riesz transforms obtained as conditional expectations of martingale transforms \`a la Gundy-Varopoulos for quite general diffusions on manifolds and vector bundles. Several specific examples and applications are presented: Lie groups of compact type, the Heisenberg group, SU(2), and Riesz transforms on forms and spinors.

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Rodrigo Bañuelos, Fabrice Baudoin, Li Chen. 2018-02-07. Gundy-Varopoulos martingale transforms and their projection operators on manifolds and vector bundles. https://arxiv.org/abs/1802.02410

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