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math.FA2026
Weighted Hardy inequalities involving supremum for decreasing sequences
Tuğçe Ünver, Amiran Gogatishvili, Nurzhan Bokayev +1
In this paper, we provide a complete characterization of the weighted Hardy inequalities involving the supremum operator, restricted to the cone of non-increasing sequences, for al…
math.FA2025
The Persson--Stepanov theorem revisited
Amiran Gogatishvili, Luboš Pick, Hana Turčinová +1
We develop a new proof of the result of L.-E.~Persson and V.D.~Stepanov \cite[Theorems 1 and 3]{Per:02}, which provides a characterization of a Hardy integral inequality involving…
math.FA2025
Weighted inequalities involving two Hardy operators
Amiran Gogatishvili, Tugce Ünver
We find necessary and sufficient conditions on weights , i.e. measurable, positive, and finite, a.e. on , for which there exists a positive constant …