Hardy-type inequalities for iterated integral operators with kernels
Kalybay A. Temirkhanova A.
February 2026Springer-Verlag Italia s.r.l.
Rendiconti del Circolo Matematico di Palermo
2026#75Issue 1
This paper investigates operators formed by the iteration of two Volterra-type operators. The kernels involved satisfy general conditions that extend previous results in Stepanov and Shambilova (Math Inequal Appl 22(4):1505–1533, 2019. https://doi.org/10.7153/mia-2019-22-105), which were established for kernels satisfying the Oinarov condition. Necessary and sufficient conditions are established for the boundedness of these iterated operators between weighted Lebesgue spaces.
Hardy-type inequality , Integral operator , Iterated operator , Kernel , Lebesgue space , Weight function
Text of the article Перейти на текст статьи
Department of Natural Sciences and Mathematics, KIMEP University, 4 Abay Avenue, Almaty, 050010, Kazakhstan
Department of Fundamental Mathematics, L.N. Gumilyov Eurasian National University, 2 Satpaev Street, Astana, 101008, Kazakhstan
Department of Natural Sciences and Mathematics
Department of Fundamental Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026