论文标题

新的等效定理,用于加权不等式,涉及与Hardy和Copson操作员及其应用的单调准线性操作员组成

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

论文作者

Mustafayev, Rza, Yılmaz, Merve

论文摘要

在本文中,证明了与Hardy和Copson操作员在加权Lebesgue空间中与Hardy和Copson运营商组成的界限有关的新的等价定理。在加权强壮型和加权迭代的硬质型不平等的情况下,说明了获得的结果的有用性。

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.

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