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math.FA2021★ 1 cited
Weighted inequalities for discrete iterated kernel operators
Amiran Gogatishvili, Luboš Pick, Tuğçe Ünver
We develop a new method that enables us to solve the open problem of characterizing discrete inequalities for kernel operators involving suprema. More precisely, we establish neces…
math.CA2021
The two-weight Hardy inequality: a new elementary and universal proof
Amiran Gogatishvili, Luboš Pick
We give a~new proof of the known criteria for the inequality \begin{equation*} \left(\int_{0}^{\infty}\left(\int_{0}^{t}f\right)^{q}w(t)\,dt\right)^{\frac{1}{q}} \leq C \left(\int_…