Discrete H\" older and reversed Hardy-type inequalities in Lorentz sequence spaces
Abstract
We establish new optimal reversed Hardy-type inequalities on the cone of decreasing sequences from p-spaces with power weights, as well as estimates between different norms in Lorentz spaces of sequences. Based on these inequalities, we derive a sharp H\"older-type inequality in Lorentz sequence spaces that complements the previously considered case of functions.
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