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math.FA2022
Weighted inequalities involving Hardy and Copson operators
Amiran Gogatishvili, Luboš Pick, Tuğçe Ünver
We characterize a four-weight inequality involving the Hardy operator and the Copson operator. More precisely, given , we find necessary and suf…
math.FA2022
Weighted inequalities involving iteration of two Hardy integral operators
Amiran Gogatishvili, Tuğçe Ünver
Let and . We characterize validity of the inequality for the composition of the Hardy operator, \begin{equation*} \bigg(\int_a^b \bigg(\int_a^x…