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.
DOI : 10.4064/sm182-3-7
Keywords: hardy lorentz spaces mathbb where infty discuss atomic decomposition elements these spaces their interpolation properties behavior singular integrals other operators acting

Wael Abu-Shammala 1 ; Alberto Torchinsky 1

1 Department of Mathematics Indiana University Bloomington, IN 47405, U.S.A.
@article{10_4064_sm182_3_7,
     author = {Wael Abu-Shammala and Alberto Torchinsky},
     title = {The {Hardy{\textendash}Lorentz} spaces $H^{p,q}({\mathbb R}^n)$},
     journal = {Studia Mathematica},
     pages = {283--294},
     publisher = {mathdoc},
     volume = {182},
     number = {3},
     year = {2007},
     doi = {10.4064/sm182-3-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm182-3-7/}
}
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
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm182-3-7/
DO  - 10.4064/sm182-3-7
LA  - en
ID  - 10_4064_sm182_3_7
ER  - 
%0 Journal Article
%A Wael Abu-Shammala
%A Alberto Torchinsky
%T The Hardy–Lorentz spaces $H^{p,q}({\mathbb R}^n)$
%J Studia Mathematica
%D 2007
%P 283-294
%V 182
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm182-3-7/
%R 10.4064/sm182-3-7
%G en
%F 10_4064_sm182_3_7
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

Cité par Sources :