Hardy-type inequalities for a class of iterated operators and their application to Morrey-type spaces

Abstract

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.

Keywords

• integral operator
• hardy-type inequality
• weight function
• lebesgue space
• morrey-type space
• 26d10
• 26d15
• 47b38