The atomic decomposition of harmonic functions satisfying certain conditions of integrability

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.

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Bibliographic Details
Main Author: Krzysztof Bogdan
Format: Article
Language:English
Published: Wiley 1995-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171295000809
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