TY - JOUR
T1 - Gundy–Varopoulos martingale transforms and their projection operators on manifolds and vector bundles
AU - Bañuelos, Rodrigo
AU - Baudoin, Fabrice
AU - Chen, Li
N1 - Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2020/10/1
Y1 - 2020/10/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85081404677&partnerID=8YFLogxK
U2 - 10.1007/s00208-019-01825-4
DO - 10.1007/s00208-019-01825-4
M3 - Journal article
AN - SCOPUS:85081404677
SN - 0025-5831
VL - 378
SP - 359
EP - 388
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 1-2
ER -