Homogeneous fractional integrals on Hardy spaces

Authors
Citation
Y. Ding et Sz. Lu, Homogeneous fractional integrals on Hardy spaces, TOHOKU MATH, 52(1), 2000, pp. 153-162
Citations number
11
Categorie Soggetti
Mathematics
Journal title
TOHOKU MATHEMATICAL JOURNAL
ISSN journal
00408735 → ACNP
Volume
52
Issue
1
Year of publication
2000
Pages
153 - 162
Database
ISI
SICI code
0040-8735(200003)52:1<153:HFIOHS>2.0.ZU;2-B
Abstract
Mapping properties for the homogeneous fractional integral operator T-Omega ,T-alpha on the Hardy spaces H-p(R-n) are studied. Our results give the ext ension of Stein-Weiss and Taibleson-Weiss's results for the boundedness of the Riesz potential operator I-alpha on the Hardy spaces H-p(R-n).