arXiv:2205.14602 Abstract | arXiv Analytics

arXiv:2205.14602 [math.FA]Abstract References Reviews Resources

New equivalence theorems for weighted inequalities involving the composition of monotone quasilinear operators with the Hardy and Copson operators and their applications

Published 2022-05-29Version 1

In this paper, new equivalence theorems for the boundedness of the composition of a quasilinear operator $T$ with the Hardy and Copson operators in weighted Lebesgue spaces are proved. The usefulness of the obtained results is illustrated in the case of weighted Hardy-type and weighted iterated Hardy-type inequalities.

Comments: 14 pages. arXiv admin note: text overlap with arXiv:2203.08661

Categories: math.FA

Subjects: 26D10, 26D15

Keywords: monotone quasilinear operators, copson operators, equivalence theorems, weighted inequalities, composition

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