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This paper proves the $$L^p$$Lp boundedness of generalized first order Riesz transforms obtained as conditional expectations of martingale transforms à la Gundy–Varopoulos for quite general diffusions on manifolds and vector… Click to show full abstract
This paper proves the $$L^p$$Lp boundedness of generalized first order Riesz transforms obtained as conditional expectations of martingale transforms à 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, $$\mathbb {SU}(2)$$SU(2), and Riesz transforms on forms and spinors.
Keywords:
gundy varopoulos;
varopoulos martingale;
manifolds vector;
vector bundles;
martingale transforms
Journal Title: Mathematische Annalen
Year Published: 2019
Link to full text (if available)
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Journal Title: Mathematische Annalen
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!