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

Rodrigo Bañuelos, Fabrice Baudoin*, Li Chen

*Corresponding author af dette arbejde

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avisTidsskriftartikelForskningpeer review

2 Citationer (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.

OriginalsprogEngelsk
TidsskriftMathematische Annalen
Vol/bind378
Nummer1-2
Sider (fra-til)359-388
Antal sider30
ISSN0025-5831
DOI
StatusUdgivet - 1 okt. 2020
Udgivet eksterntJa

Fingeraftryk

Dyk ned i forskningsemnerne om 'Gundy–Varopoulos martingale transforms and their projection operators on manifolds and vector bundles'. Sammen danner de et unikt fingeraftryk.

Citationsformater