Geodesic
On integral operators in $L_p$-spaces
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 475-491.

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On the model problem the influence of mutual disposition of singularities of the integral operator's kernel onto its norm and spectral radius is studied. The upper and lower estimations of norm of integral operators in Lorentz spaces are obtained. On the basis of these inequalities, the partial order relation is introduced that permits in some cases to compare the norms of integral operators. 
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     author = {A. G. Kostyuchenko and E. D. Nursultanov},
     title = {On integral operators in $L_p$-spaces},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {475--491},
     publisher = {mathdoc},
     volume = {5},
     number = {2},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a6/}
}
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A. G. Kostyuchenko; E. D. Nursultanov. On integral operators in $L_p$-spaces. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 2, pp. 475-491. http://geodesic.mathdoc.fr/item/FPM_1999_5_2_a6/