## Real Analysis Exchange

### Atoms and Singular Integrals on Complex Domains

Steven G. Krantz

#### Abstract

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.

#### Article information

Source
Real Anal. Exchange, Volume 38, Number 2 (2012), 409-420.

Dates
First available in Project Euclid: 27 June 2014