On the properties of a Riesz potential with oscillating kernel
We consider a potential-type integral operator with oscillating kernel in the space of functions representable as Riesz potentials. We obtain estimates of its norm in the Lebesgue spaces which depend on the oscillation parameter to a negative power.
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| Veröffentlicht in: | Siberian mathematical journal 2014-03, Vol.55 (2), p.201-209 |
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| container_end_page | 209 |
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| container_issue | 2 |
| container_start_page | 201 |
| container_title | Siberian mathematical journal |
| container_volume | 55 |
| creator | Arbuzov, È. V. |
| description | We consider a potential-type integral operator with oscillating kernel in the space of functions representable as Riesz potentials. We obtain estimates of its norm in the Lebesgue spaces which depend on the oscillation parameter to a negative power. |
| doi_str_mv | 10.1134/S0037446614020025 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0037-4466 |
| ispartof | Siberian mathematical journal, 2014-03, Vol.55 (2), p.201-209 |
| issn | 0037-4466 1573-9260 |
| language | eng |
| recordid | cdi_crossref_primary_10_1134_S0037446614020025 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Mathematics Mathematics and Statistics |
| title | On the properties of a Riesz potential with oscillating kernel |
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