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Weighted Inequalities for Discrete Iterated Hardy Operators

Publikace na Matematicko-fyzikální fakulta |
2020

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

We characterize a three-weight inequality for an iterated discrete Hardy-type operator. In the case when the domain space is a weighted space l(p) with p is an element of (0, 1], we develop characterizations which enable us to reduce the problem to another one with p = 1.

This, in turn, makes it possible to establish an equivalence of the weighted discrete inequality to an appropriate inequality for iterated Hardy-type operators acting on measurable functions defined on R, for all cases of involved positive exponents.