Geodesic
Atomic decomposition on Hardy–Sobolev spaces
Yong-Kum Cho1 ; Joonil Kim1
1 Department of Mathematics College of Natural Science Chung-Ang University Seoul 156-756, Korea
Studia Mathematica, Tome 177 (2006) no. 1, pp. 25-42

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

As a natural extension of $L^p$ Sobolev spaces, we consider Hardy–Sobolev spaces and establish an atomic decomposition theorem, analogous to the atomic decomposition characterization of Hardy spaces. As an application, we deduce several embedding results for Hardy–Sobolev spaces.
DOI : 10.4064/sm177-1-3
Keywords: natural extension sobolev spaces consider hardy sobolev spaces establish atomic decomposition theorem analogous atomic decomposition characterization hardy spaces application deduce several embedding results hardy sobolev spaces

Yong-Kum Cho 1 ; Joonil Kim 1

1 Department of Mathematics College of Natural Science Chung-Ang University Seoul 156-756, Korea 
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Yong-Kum Cho; Joonil Kim. Atomic decomposition on Hardy–Sobolev spaces. Studia Mathematica, Tome 177 (2006) no. 1, pp. 25-42. doi: 10.4064/sm177-1-3

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