Homogeneous fractional integrals on Hardy spaces
Ding, Yong ; Lu, Shanzhen
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 153-162 / Harvested from Project Euclid
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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 $H^p(R^n)$.
Publié le : 2000-05-14
Classification:  Fractional integral,  homogeneous kernel,  $L^r$-Dini condition,  $H^p$ space,  42B25 
@article{1178224663,
     author = {Ding, Yong and Lu, Shanzhen},
     title = {Homogeneous fractional integrals on Hardy spaces},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 153-162},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178224663}
}

Ding, Yong; Lu, Shanzhen. Homogeneous fractional integrals on Hardy spaces. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  153-162. http://gdmltest.u-ga.fr/item/1178224663/