International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 625-640
doi:10.1155/S0161171295000809
The atomic decomposition of harmonic functions satisfying certain conditions of integrability
Krzysztof Bogdan
Institute of Mathematics, Technical University of Wroclaw, Wybrzeże Wyspiańskiego 27, Wrocław 50-370, Poland
Abstract
Distributions on Euclidean spaces with derivatives of their Poisson integral satisfying certain natural conditions of integrability are represented as sums of weighted atoms. The atomic decomposition is obtained by means of the Calderón reproducing formula.