On the relationships between the norms of operators with endpoint singularities in Lebesgue and Hölder spaces with weight

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...