TY - JOUR
T1 - Fractional integrals on weighted Hardy spaces
AU - Ding, Yong
AU - Lee, Ming Yi
AU - Lin, Chin Cheng
N1 - Funding Information:
* Corresponding author. E-mail addresses: [email protected] (Y. Ding), [email protected] (M.-Y. Lee), [email protected] (C.-C. Lin). 1 Y. Ding was supported by NNSF of China under Grant 10271016. 2 C.-C. Lin was supported by NSC in Taipei under Grant NSC 91-2115-M-008-009.
PY - 2003/6/1
Y1 - 2003/6/1
N2 - In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces Hwp(ℝn), we give the weighted boundedness of the homogeneous fractional integral operator TΩ,α from Hwpp (ℝn) to Lwqq (ℝn), and from Hwpp (ℝn) to Hwqq (ℝn).
AB - In this paper, applying the atomic decomposition and molecular characterization of the real weighted Hardy spaces Hwp(ℝn), we give the weighted boundedness of the homogeneous fractional integral operator TΩ,α from Hwpp (ℝn) to Lwqq (ℝn), and from Hwpp (ℝn) to Hwqq (ℝn).
KW - A weights
KW - Fractional integrals
KW - L-Dini condition
KW - Weighted Hardy spaces
UR - http://www.scopus.com/inward/record.url?scp=0037673440&partnerID=8YFLogxK
U2 - 10.1016/S0022-247X(03)00167-7
DO - 10.1016/S0022-247X(03)00167-7
M3 - 期刊論文
AN - SCOPUS:0037673440
SN - 0022-247X
VL - 282
SP - 356
EP - 368
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 1
ER -