TY - JOUR AU - S. K. Abdullayev AU - E. A. Mammadov PY - 2020/01/15 Y2 - 2024/03/29 TI - On a class of sublinear operators with a generalized shift JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 72 IS - 1 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/209 AB - 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 generalized shift associated with the differential Laplace – Bessel operator. ER -