Iterated Hardy-type inequalities involving suprema
Amiran Gogatishvili, Rza Mustafayev
TL;DR
This paper provides a complete characterization of inequalities involving supremal operators, including their composition with Hardy and Copson operators, in weighted Lebesgue spaces, advancing the understanding of these integral inequalities.
Contribution
It offers a complete solution to restricted inequalities for supremal operators and characterizes their boundedness when composed with Hardy and Copson operators in weighted Lebesgue spaces.
Findings
Complete solution to restricted supremal inequalities
Characterization of boundedness of operator compositions
Advances understanding of inequalities in weighted Lebesgue spaces
Abstract
In this paper the complete solution of the restricted inequalities for supremal operators are given. The boundedness of the composition of supremal operators with the Hardy and Copson operators in weighted Lebesgue spaces are characterized.
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