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Strichartz's conjecture on Hardy-Sobolev spaces

Yong-Kum Cho — 2005

Colloquium Mathematicae

We prove Strichartz's conjecture regarding a characterization of Hardy-Sobolev spaces.

Atomic decomposition on Hardy-Sobolev spaces

Yong-Kum Cho; Joonil Kim — 2006

Studia Mathematica

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.

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