Resumen de Atomic decomposition on Hardy-Sobolev spaces

Yong-Kum Cho, Joonil Kim

• As a natural extension of Lp Sobolev spaces, we consider Hardy-Sobolev spaces and establish an atomic decomposition theorem, analogous to the atomic decompo- sition characterization of Hardy spaces. As an application, we deduce several embedding results for Hardy-Sobolev spaces