Open Access
2012/2013 Atoms and Singular Integrals on Complex Domains
Steven G. Krantz
Real Anal. Exchange 38(2): 409-420 (2012/2013).


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.


Download Citation

Steven G. Krantz. "Atoms and Singular Integrals on Complex Domains." Real Anal. Exchange 38 (2) 409 - 420, 2012/2013.


Published: 2012/2013
First available in Project Euclid: 27 June 2014

zbMATH: 1295.32020
MathSciNet: MR3261885

Primary: 32F18 , 32T25
Secondary: 32A55 , 32V35 , 42A50 , 42B20

Keywords: atomic decomposition , complex domains , finite type , singular integrals

Rights: Copyright © 2012 Michigan State University Press

Vol.38 • No. 2 • 2012/2013
Back to Top