The Hardy-Lorentz spaces Hp,q(ℝⁿ)
Wael Abu-Shammala ; Alberto Torchinsky
Studia Mathematica, Tome 178 (2007), p. 283-294 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We deal with the Hardy-Lorentz spaces Hp,q(ℝⁿ) where 0 < p ≤ 1, 0 < q ≤ ∞. We discuss the atomic decomposition of the elements in these spaces, their interpolation properties, and the behavior of singular integrals and other operators acting on them.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284455 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-3-7,
     author = {Wael Abu-Shammala and Alberto Torchinsky},
     title = {The Hardy-Lorentz spaces $H^{p,q}(Rn)$
            },
     journal = {Studia Mathematica},
     volume = {178},
     year = {2007},
     pages = {283-294},
     zbl = {1129.42006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-3-7}
}

Wael Abu-Shammala; Alberto Torchinsky. The Hardy-Lorentz spaces $H^{p,q}(ℝⁿ)$
            . Studia Mathematica, Tome 178 (2007) pp. 283-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-3-7/