Abstract
Mapping properties for the homogeneous fractional integral operator $T_{{\mit \Omega},\alpha}$ on the Hardy spaces $H^p(R^n)$ are studied. Our results give the extension of Stein-Weiss and Taibleson-Weiss's results for the boundedness of the Riesz potential operator $I_{\alpha}$ on the Hardy spaces $H^p(R^n)$.
Citation
Yong Ding. Shanzhen Lu. "Homogeneous fractional integrals on Hardy spaces." Tohoku Math. J. (2) 52 (1) 153 - 162, 2000. https://doi.org/10.2748/tmj/1178224663
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