Geodesic
Boundedness and compactness of a~supremum-involving integral operator
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 142-154

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We obtain criteria of boundedness and compactness of a supremum-involving integral operator in Lebesgue spaces on a half-axis. 
@article{TM_2013_283_a9,
     author = {D. V. Prokhorov},
     title = {Boundedness and compactness of a~supremum-involving integral operator},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {142--154},
     publisher = {mathdoc},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2013_283_a9/}
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D. V. Prokhorov. Boundedness and compactness of a~supremum-involving integral operator. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 142-154. http://geodesic.mathdoc.fr/item/TM_2013_283_a9/