N-harmonic extensions of weighted integrable distributions
We obtain n-harmonic extensions to the Cartesian product of ncopies of the upper half-plane, of distributions in the weighted space w12?wn2DL1', which is known to be the optimal space of tempered distributions that are S'-convolvable with a natural product domain version of the Poiss...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2006/165314 |
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| _version_ | 1850174033272766464 |
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| author | Josefina Alvarez Martha Guzmán-Partida Salvador Pérez-Esteva |
| author_facet | Josefina Alvarez Martha Guzmán-Partida Salvador Pérez-Esteva |
| author_sort | Josefina Alvarez |
| collection | DOAJ |
| description | We obtain n-harmonic extensions to the Cartesian product of ncopies of the upper half-plane, of distributions in the weighted space w12?wn2DL1', which is known to be the optimal space of tempered distributions that are S'-convolvable with a natural product domain version of the Poisson kernel. |
| format | Article |
| id | doaj-art-c7055f7d42854deea90fc89d7aeb26cb |
| institution | OA Journals |
| issn | 0972-6802 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-c7055f7d42854deea90fc89d7aeb26cb2025-08-20T02:19:44ZengWileyJournal of Function Spaces and Applications0972-68022006-01-014330532710.1155/2006/165314N-harmonic extensions of weighted integrable distributionsJosefina Alvarez0Martha Guzmán-Partida1Salvador Pérez-Esteva2Department of Mathematics, New Mexico State University, Las Cruces, NM 88003, USADepartamento de Matemáticas, Universidad de Sonora, Hermosillo, Sonora 83000, MéxicoInstituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México, Cuernavaca, Morelos 62251, MéxicoWe obtain n-harmonic extensions to the Cartesian product of ncopies of the upper half-plane, of distributions in the weighted space w12?wn2DL1', which is known to be the optimal space of tempered distributions that are S'-convolvable with a natural product domain version of the Poisson kernel.http://dx.doi.org/10.1155/2006/165314 |
| spellingShingle | Josefina Alvarez Martha Guzmán-Partida Salvador Pérez-Esteva N-harmonic extensions of weighted integrable distributions Journal of Function Spaces and Applications |
| title | N-harmonic extensions of weighted integrable distributions |
| title_full | N-harmonic extensions of weighted integrable distributions |
| title_fullStr | N-harmonic extensions of weighted integrable distributions |
| title_full_unstemmed | N-harmonic extensions of weighted integrable distributions |
| title_short | N-harmonic extensions of weighted integrable distributions |
| title_sort | n harmonic extensions of weighted integrable distributions |
| url | http://dx.doi.org/10.1155/2006/165314 |
| work_keys_str_mv | AT josefinaalvarez nharmonicextensionsofweightedintegrabledistributions AT marthaguzmanpartida nharmonicextensionsofweightedintegrabledistributions AT salvadorperezesteva nharmonicextensionsofweightedintegrabledistributions |