The atomic decomposition of harmonic functions satisfying certain conditions of integrability (Q1902908)
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scientific article; zbMATH DE number 823340
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The atomic decomposition of harmonic functions satisfying certain conditions of integrability |
scientific article; zbMATH DE number 823340 |
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The atomic decomposition of harmonic functions satisfying certain conditions of integrability (English)
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5 December 1995
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Summary: 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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atomic decomposition
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Calderón reproducing formula
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harmonic functions
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admissible weights
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