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

Rodrigo Bañuelos, Fabrice Baudoin*, Li Chen

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

2 Citations (Scopus)

Abstract

This paper proves the 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, SU(2) , and Riesz transforms on forms and spinors.

Original languageEnglish
JournalMathematische Annalen
Volume378
Issue1-2
Pages (from-to)359-388
Number of pages30
ISSN0025-5831
DOIs
Publication statusPublished - 1 Oct 2020
Externally publishedYes

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