TY - JOUR
T1 - Hardy spaces of differential forms on riemannian manifolds
AU - Auscher, Pascal
AU - McIntosh, Alan
AU - Russ, Emmanuel
PY - 2008/1
Y1 - 2008/1
N2 - Let M be a complete connected Riemannian manifold. Assuming that the Riemannian measure is doubling, we define Hardy spaces H p of differential forms on M and give various characterizations of them, including an atomic decomposition. As a consequence, we derive the H p -boundedness for Riesz transforms on M, generalizing previously known results. Further applications, in particular to H ∞ functional calculus and Hodge decomposition, are given.
AB - Let M be a complete connected Riemannian manifold. Assuming that the Riemannian measure is doubling, we define Hardy spaces H p of differential forms on M and give various characterizations of them, including an atomic decomposition. As a consequence, we derive the H p -boundedness for Riesz transforms on M, generalizing previously known results. Further applications, in particular to H ∞ functional calculus and Hodge decomposition, are given.
KW - Differential forms
KW - Hardy spaces
KW - Riemannian manifolds
KW - Riesz transforms
UR - http://www.scopus.com/inward/record.url?scp=84867949037&partnerID=8YFLogxK
U2 - 10.1007/s12220-007-9003-x
DO - 10.1007/s12220-007-9003-x
M3 - Article
SN - 1050-6926
VL - 18
SP - 192
EP - 248
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
IS - 1
ER -