On a measure of non-compactness for singular integrals
It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below. Analogous problems for Cauchy singular integrals defined on Jor...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2003/927590 |
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| _version_ | 1850158041281855488 |
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| author | Alexander Meskhi |
| author_facet | Alexander Meskhi |
| author_sort | Alexander Meskhi |
| collection | DOAJ |
| description | It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below. Analogous problems for Cauchy singular integrals defined on Jordan smooth curves are studied. |
| format | Article |
| id | doaj-art-5fd5808f78684b9cb1dc488b942ecb4d |
| institution | OA Journals |
| issn | 0972-6802 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-5fd5808f78684b9cb1dc488b942ecb4d2025-08-20T02:24:00ZengWileyJournal of Function Spaces and Applications0972-68022003-01-0111354310.1155/2003/927590On a measure of non-compactness for singular integralsAlexander Meskhi0A. Razmadze Mathematical Institute, Georgian Academy of Sciences, 1, M. Aleksidze St, 380093 Tbilisi, GeorgiaIt is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below. Analogous problems for Cauchy singular integrals defined on Jordan smooth curves are studied.http://dx.doi.org/10.1155/2003/927590 |
| spellingShingle | Alexander Meskhi On a measure of non-compactness for singular integrals Journal of Function Spaces and Applications |
| title | On a measure of non-compactness for singular integrals |
| title_full | On a measure of non-compactness for singular integrals |
| title_fullStr | On a measure of non-compactness for singular integrals |
| title_full_unstemmed | On a measure of non-compactness for singular integrals |
| title_short | On a measure of non-compactness for singular integrals |
| title_sort | on a measure of non compactness for singular integrals |
| url | http://dx.doi.org/10.1155/2003/927590 |
| work_keys_str_mv | AT alexandermeskhi onameasureofnoncompactnessforsingularintegrals |