Atomic decomposition on Hardy-Sobolev spaces
Yong-Kum Cho ; Joonil Kim
Studia Mathematica, Tome 173 (2006), p. 25-42 / Harvested from The Polish Digital Mathematics Library
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As a natural extension of Lp 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.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284849 
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     author = {Yong-Kum Cho and Joonil Kim},
     title = {Atomic decomposition on Hardy-Sobolev spaces},
     journal = {Studia Mathematica},
     volume = {173},
     year = {2006},
     pages = {25-42},
     zbl = {1133.42040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-1-3}
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Yong-Kum Cho; Joonil Kim. Atomic decomposition on Hardy-Sobolev spaces. Studia Mathematica, Tome 173 (2006) pp. 25-42. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm177-1-3/