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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0972-6802 |