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