TY - JOUR
T1 - Carleson measure spaces associated to para-accretive functions
AU - Lee, Ming Yi
AU - Lin, Chin Cheng
N1 - Funding Information:
Research supported by NSC of Taiwan under Grant #NSC 99-2115-M-008-002-MY3 and Grant #NSC 100-2115-M-008-002-MY3, respectively.
PY - 2012/2
Y1 - 2012/2
N2 - To study the boundedness of the Cauchy integrals over Lipschitz curves, new Hardy spaces H b p were introduced in [Y. Han, M.-Y. Lee and C.-C. Lin, Hardy spaces and the Tb theorem, J. Geom. Anal. 14 (2004) 291318], where b is a para-accretive function. In this paper, we define the Carleson measure spaces CMO b p that generalize BMO, and show that CMO b p is the dual space of H b p. As an application, we give a Carleson measure characterization of BMO b.
AB - To study the boundedness of the Cauchy integrals over Lipschitz curves, new Hardy spaces H b p were introduced in [Y. Han, M.-Y. Lee and C.-C. Lin, Hardy spaces and the Tb theorem, J. Geom. Anal. 14 (2004) 291318], where b is a para-accretive function. In this paper, we define the Carleson measure spaces CMO b p that generalize BMO, and show that CMO b p is the dual space of H b p. As an application, we give a Carleson measure characterization of BMO b.
KW - Approximation to the identity
KW - Carleson measure space
KW - Hardy space
KW - para-accretive function
KW - PlancherelPô;lya inequality
UR - http://www.scopus.com/inward/record.url?scp=84863272717&partnerID=8YFLogxK
U2 - 10.1142/S0219199712500022
DO - 10.1142/S0219199712500022
M3 - 期刊論文
AN - SCOPUS:84863272717
SN - 0219-1997
VL - 14
JO - Communications in Contemporary Mathematics
JF - Communications in Contemporary Mathematics
IS - 1
M1 - 1250002
ER -