Geodesic
Iterated Integral Operators on the Cone of Monotone Functions
Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 454-466

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Criteria for the boundedness of sublinear integral two-kernel operators of iterated type on cones of monotone functions in Lebesgue spaces on the real semiaxis are given.
Keywords: Hardy-type inequality, weighted Lebesgue space, sublinear integral operator. 
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     author = {V. D. Stepanov and G. \`E. Shambilova},
     title = {Iterated {Integral} {Operators} on the {Cone} of {Monotone} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {454--466},
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     number = {3},
     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a10/}
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V. D. Stepanov; G. È. Shambilova. Iterated Integral Operators on the Cone of Monotone Functions. Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 454-466. http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a10/