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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| Format: | Article |
| Language: | English |
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Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000809 |
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| _version_ | 1849468148228554752 |
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| author | Krzysztof Bogdan |
| author_facet | Krzysztof Bogdan |
| author_sort | Krzysztof Bogdan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ffaa0ea6b5e341bd85d31ecb55f6698f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1995-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ffaa0ea6b5e341bd85d31ecb55f6698f2025-08-20T03:25:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251995-01-0118462564010.1155/S0161171295000809The atomic decomposition of harmonic functions satisfying certain conditions of integrabilityKrzysztof Bogdan0Institute of Mathematics, Technical University of Wroclaw, Wybrzeże Wyspiańskiego 27, Wrocław 50-370, PolandDistributions 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.http://dx.doi.org/10.1155/S0161171295000809atomic decompositionCalderón reproducing formulaharmonic functionsadmissible weights. |
| spellingShingle | Krzysztof Bogdan The atomic decomposition of harmonic functions satisfying certain conditions of integrability International Journal of Mathematics and Mathematical Sciences atomic decomposition Calderón reproducing formula harmonic functions admissible weights. |
| title | The atomic decomposition of harmonic functions satisfying certain conditions of integrability |
| title_full | The atomic decomposition of harmonic functions satisfying certain conditions of integrability |
| title_fullStr | The atomic decomposition of harmonic functions satisfying certain conditions of integrability |
| title_full_unstemmed | The atomic decomposition of harmonic functions satisfying certain conditions of integrability |
| title_short | The atomic decomposition of harmonic functions satisfying certain conditions of integrability |
| title_sort | atomic decomposition of harmonic functions satisfying certain conditions of integrability |
| topic | atomic decomposition Calderón reproducing formula harmonic functions admissible weights. |
| url | http://dx.doi.org/10.1155/S0161171295000809 |
| work_keys_str_mv | AT krzysztofbogdan theatomicdecompositionofharmonicfunctionssatisfyingcertainconditionsofintegrability AT krzysztofbogdan atomicdecompositionofharmonicfunctionssatisfyingcertainconditionsofintegrability |