On weighted Hardy inequality with two-dimensional rectangular operator -- extension of the E. Sawyer theorem

arXiv: Functional Analysis Pub Date : 2020-09-14 DOI:10.7153/mia-2021-24-3

V. Stepanov, E. Ushakova

引用次数: 2

Abstract

A characterization is obtained for those pairs of weights $v$ and $w$ on $\mathbb{R}^2_+$, for which the two--dimensional rectangular integration operator is bounded from a weighted Lebesgue space $L^p_v(\mathbb{R}^2_+)$ to $L^q_w(\mathbb{R}^2_+)$ for $1

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二维矩形算子的加权Hardy不等式——E. Sawyer定理的推广

得到了$\mathbb{R}^2_+$上权重对$v$和$w$的一个刻画，对于$1

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