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.
@article{10_4064_sm177_1_3,
author = {Yong-Kum Cho and Joonil Kim},
title = {Atomic decomposition on {Hardy{\textendash}Sobolev} spaces},
journal = {Studia Mathematica},
pages = {25--42},
year = {2006},
volume = {177},
number = {1},
doi = {10.4064/sm177-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm177-1-3/}
}
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AU - Joonil Kim
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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
