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On bilinear weighted inequalities on the cone of nondecreasing functions. (English. Russian original) Zbl 1390.26046

Dokl. Math. 96, No. 3, 631-635 (2017); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 477, No. 6, 652-656 (2017).
The authors derived and proved the necessary and sufficient conditions for the weighted boundedness in Lebesgue spaces of a certain class of bilinear weighted inequalities with integration operators on the cone of nondecreasing functions on a real half-axis.

MSC:

26D15 Inequalities for sums, series and integrals
26D10 Inequalities involving derivatives and differential and integral operators
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