Article · Journal of Mathematical Sciences · June 1, 2025

Reduction Theorems for the Discrete Hardy Operator on Cones of Monotone Sequences

Амиран Гогатишвили, Nurzhan Bokayev, Gulden Karshygina, Nurgul Kuzeubayeva, Tuğçe Ünver

Abstract

We examine weighted inequalities for the discrete Hardy operator on the cone of monotone sequences. Such inequalities can be reduced to the corresponding inequalities on the cone of nonnegative sequences.

Mathematical Inequalities and ApplicationsAdvanced Harmonic Analysis ResearchApproximation Theory and Sequence Spacesweighted inequalitiesreduction theoremdiscrete harmonic analysis

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