Abstract
We obtain a characterization of the multidimensional bilinear Hardy inequality in weighted Lebesgue spaces.
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Acknowledgment
The authors are deeply grateful to the referee for valuable remarks.
Funding
The work of V. D. Stepanov (Theorems 2, 3, 13, and 14) was supported by the Russian Science Foundation (Grant 19–11–00087) and carried out at the Steklov Mathematical Institute of the Russian Academy of Sciences. The work of V. D. Stepanov for the rest of the paper was carried out within the framework of the State Task of the Ministry of Education and Science of the Russian Federation to the Computing Center of Far Eastern Branch of the Russian Academy of Sciences. The results of the work of G. E. Shambilova were partially supported by the Russian Foundation for Basic Research (Grant 19–01–00223).
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Stepanov, V.D., Shambilova, G.E. Multidimensional Bilinear Hardy Inequalities. Sib Math J 61, 725–742 (2020). https://doi.org/10.1134/S0037446620040138
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DOI: https://doi.org/10.1134/S0037446620040138