On a class of sublinear operators with a generalized shift

• Дата: 2020
• Автори: Abdullayev, S. K., Mammadov, E. A., Абдуллаев, С. К., Маммадов, Э. А., Абдуллаєв, С. К., Маммадов, Е. А.
• Формат: Стаття
• Мова: Російська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2020
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/209
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We establish strong and weak Hardy – Littlewood – Sobolev inequalities for the subadditive operators majorized by operators from a certain class of integral convolutions of the Riesz-potential type with almost monotone kernels generated both by operators of ordinary shift and by operators of general...