Geodesic
Two–dimensional bilinear inequality for rectangular Hardy operator and non–factorizable weights
Eurasian mathematical journal, Tome 14 (2023) no. 4, pp. 47-62

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Necessary conditions and sufficient conditions are given for the validity of two–dimensional bilinear norm inequalities with rectangular Hardy operators in weighted Lebesgue spaces. The results are applicable for non–factorizable weights. 
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     author = {R. Sengupta and E. P. Ushakova},
     title = {Two{\textendash}dimensional bilinear inequality for rectangular {Hardy} operator and non{\textendash}factorizable weights},
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R. Sengupta; E. P. Ushakova. Two–dimensional bilinear inequality for rectangular Hardy operator and non–factorizable weights. Eurasian mathematical journal, Tome 14 (2023) no. 4, pp. 47-62. http://geodesic.mathdoc.fr/item/EMJ_2023_14_4_a4/