An Lp Version of the Hardy Theorem for Motion Groups
We describe a generalization of the Hardy theorem on the motion group. We prove that for some weight functions νω growing very rapidly and a measurable function f, the finiteness of the Lp-norm of vf and the Lq-norm of ωf implies f=0 (almost everywhere).
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| Veröffentlicht in: | Journal of the Australian Mathematical Society (2001) 2000-02, Vol.68 (1), p.55-67 |
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| container_end_page | 67 |
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| container_issue | 1 |
| container_start_page | 55 |
| container_title | Journal of the Australian Mathematical Society (2001) |
| container_volume | 68 |
| creator | Eguchi, Masaaki Koizumi, Shin Kimahara, Keisaku |
| description | We describe a generalization of the Hardy theorem on the motion group. We prove that for some weight functions νω growing very rapidly and a measurable function f, the finiteness of the Lp-norm of vf and the Lq-norm of ωf implies f=0 (almost everywhere). |
| doi_str_mv | 10.1017/S1446788700001579 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0263-6115 |
| ispartof | Journal of the Australian Mathematical Society (2001), 2000-02, Vol.68 (1), p.55-67 |
| issn | 0263-6115 1446-7887 1446-8107 |
| language | eng |
| recordid | cdi_istex_primary_ark_67375_6GQ_7KC7P5KL_6 |
| source | Cambridge University Press Journals Complete |
| subjects | Hardy theorem motion group primary 43A30 uncertainty principle |
| title | An Lp Version of the Hardy Theorem for Motion Groups |
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