Atomic decomposition on Hardy–Sobolev spaces
Tom 177 / 2006
Studia Mathematica 177 (2006), 25-42
MSC: Primary 42B35, 46E35.
DOI: 10.4064/sm177-1-3
Streszczenie
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.
