TY - JOUR
T1 - Orlicz-Hardy spaces associated to operators satisfying bounded H∞ functional calculus and Davies-Gaffney estimates
AU - Anh, Bui The
AU - Li, Ji
PY - 2011/1
Y1 - 2011/1
N2 - Let X be a metric space with doubling measure, and L be an operator which has a bounded H∞ functional calculus and satisfies Davies-Gaffney estimates. In this paper, we develop a theory of Orlicz-Hardy spaces associated to L, including a molecule decomposition, square function characterization and duality of Orlicz-Hardy spaces HL,ω(X). Finally, we show that L has a bounded holomorphic functional calculus in HL,ω(X) and the Riesz transform is bounded from HL,ω(X) to L(ω().
AB - Let X be a metric space with doubling measure, and L be an operator which has a bounded H∞ functional calculus and satisfies Davies-Gaffney estimates. In this paper, we develop a theory of Orlicz-Hardy spaces associated to L, including a molecule decomposition, square function characterization and duality of Orlicz-Hardy spaces HL,ω(X). Finally, we show that L has a bounded holomorphic functional calculus in HL,ω(X) and the Riesz transform is bounded from HL,ω(X) to L(ω().
UR - http://www.scopus.com/inward/record.url?scp=77956612276&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2010.07.050
DO - 10.1016/j.jmaa.2010.07.050
M3 - Article
AN - SCOPUS:77956612276
VL - 373
SP - 485
EP - 501
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 2
ER -