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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Bibliographic Details
Date:2017
Main Authors: Karelin, O., Tarasenko, A. A., Карелин, А. А., Тарасенко, А. А.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1704
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal