REDUCTION THEOREMS FOR DISCRETE HARDY OPERATOR ON MONOTONE SEQUENCE CONES (0<p<1)

Journal of Mathematics Mechanics and Computer Science, 2025

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DOI 10.26577/jmmcs202512842
Data confidence 70 medium
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Abstract

In this paper, we consider the discrete Hardy and Copson operators on the cone of nonnegative monotone sequences. We prove that weighted inequalities of the form lp→ lq for discrete Hardy and Copson operators on the cone of monotone sequences, in the case 0 < q < ∞, 0 1, analogous results were obtained by the authors earlier.