
AbstractA new (non‐Muckenhoupt type) weight characterization for the boundedness of the general Hardy–Steklov operator is obtained in the case 1 < p ≤ q < ∞. The estimates obtained for the norm of the Hardy–Steklov operator allow the limiting procedure and as a result the boundedness of the corresponding geometric Steklov operator is investigated. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
geometric Steklov operator, Hardy inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Hardy-Steklov operator, geometric mean inequalities
geometric Steklov operator, Hardy inequality, Inequalities involving derivatives and differential and integral operators, Inequalities for sums, series and integrals, Hardy-Steklov operator, geometric mean inequalities
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