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arXiv · 2203.08661

Another approach to weighted inequalities for a superposition of Copson and Hardy operators

Rza Mustafayev·Merve Yılmaz
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Abstract

In this paper, we present a solution to the inequality $$ \bigg( \int_0^{\infty} \bigg( \int_x^{\infty} \bigg( \int_0^t h \bigg)^q w(t)\,dt \bigg)^{r / q} u(x)\,ds \bigg)^{1/r}\leq C \, \bigg( \int_0^{\infty} h^p v \bigg)^{1 / p}, \quad h \in {\mathfrak M}^+(0,\infty), $$ using a combination of reduction techniques and discretization. Here $1 \le p < \infty$, $0 < q ,\, r < \infty$ and $u,\,v,\,w$ are weight functions on $(0,\infty)$.

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Rza Mustafayev, Merve Yılmaz. 2022-03-16. Another approach to weighted inequalities for a superposition of Copson and Hardy operators. https://arxiv.org/abs/2203.08661

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