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
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.