On the relationships between the norms of operators with endpoint singularities in Lebesgue and Hölder spaces with weight
We select a special class of operators with endpoint singularities was found. For these operators we establish inequalities connecting the norms in Lebesgue spaces with weight and in H¨older spaces with weight. We describe specific types of operators satisfying the conditions of the main theorem on...
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| Date: | 2017 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2017
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/1704 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We select a special class of operators with endpoint singularities was found. For these operators we establish inequalities
connecting the norms in Lebesgue spaces with weight and in H¨older spaces with weight. We describe specific types of
operators satisfying the conditions of the main theorem on the relationship between the norms. These results can be used
to study the operators acting on H¨older spaces with weight on the basis of the well-known results for operators acting on
Lebesgue spaces with weight. |
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