Geodesic
The existence of a solution of a linear integral equation
Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 181-185 Cet article a éte moissonné depuis la source Math-Net.Ru

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A theorem is proved concerning the existence of a solution of a linear integral equation in generalized Lebesgue space $L_p(\Delta_n)$, $p=(p_1,\dots,p_n)$, where $\Delta_n$ is an $n$-dimensional parallelepiped. 
@article{MZM_1970_8_2_a5,
     author = {Ya. S. Bugrov},
     title = {The existence of a solution of a linear integral equation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {181--185},
     year = {1970},
     volume = {8},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a5/}
}
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Ya. S. Bugrov. The existence of a solution of a linear integral equation. Matematičeskie zametki, Tome 8 (1970) no. 2, pp. 181-185. http://geodesic.mathdoc.fr/item/MZM_1970_8_2_a5/