We study spaces of homogeneous type, and especially the theory of atoms, on the boundary of a domain in \(\CC^n\). We are particularly interested in atoms for small \(p\), which must satisfy a higher-order moment condition. We have an axiomatic presentation of these ideas which avoids a lot of the usual nasty calculations. Examples show that this new theory is consistent with existing particular instances of atoms.
"Atoms and Singular Integrals on Complex Domains." Real Anal. Exchange 38 (2) 409 - 420, 2012/2013.