The Hardy–Lorentz spaces $H^{p,q}({\mathbb R}^n)$
Studia Mathematica, Tome 182 (2007) no. 3, pp. 283-294
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We deal with the Hardy–Lorentz spaces
$H^{p,q}({\mathbb R}^n)$ where $0 p\le 1$, $0 q\le \infty$. 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.
Keywords:
hardy lorentz spaces mathbb where infty discuss atomic decomposition elements these spaces their interpolation properties behavior singular integrals other operators acting
Affiliations des auteurs :
Wael Abu-Shammala 1 ; Alberto Torchinsky 1
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author = {Wael Abu-Shammala and Alberto Torchinsky},
title = {The {Hardy{\textendash}Lorentz} spaces $H^{p,q}({\mathbb R}^n)$},
journal = {Studia Mathematica},
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volume = {182},
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TY - JOUR
AU - Wael Abu-Shammala
AU - Alberto Torchinsky
TI - The Hardy–Lorentz spaces $H^{p,q}({\mathbb R}^n)$
JO - Studia Mathematica
PY - 2007
SP - 283
EP - 294
VL - 182
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PB - mathdoc
UR - http://geodesic.mathdoc.fr/articles/10.4064/sm182-3-7/
DO - 10.4064/sm182-3-7
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ER -
Wael Abu-Shammala; Alberto Torchinsky. The Hardy–Lorentz spaces $H^{p,q}({\mathbb R}^n)$. Studia Mathematica, Tome 182 (2007) no. 3, pp. 283-294. doi: 10.4064/sm182-3-7
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