Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces
Kalybay A.
1 January 2024Walter de Gruyter GmbH
Open Mathematics
2024#22Issue 1
In this study, we discuss new Hardy-type inequalities for operators involving iteration and provide explicit characterizations of these inequalities. As an application of our results, we consider the problem of the boundedness of the multidimensional Hardy operator from a Lebesgue space to a Morrey-type space.
Hardy-type inequality , integral operator , Lebesgue space , Morrey-type space , weight function
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Department of Natural Sciences and Mathematics, KIMEP University, Abay Avenue 4, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Pushkin Street 125, Almaty, 050010, Kazakhstan
Department of Natural Sciences and Mathematics
Institute of Mathematics and Mathematical Modeling
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