Geodesic
On multidimensional integral operators with homogeneous kernels perturbated by one-sided multiplicative shift operators
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 5-13 
O. G. Avsyankin. On multidimensional integral operators with homogeneous kernels perturbated by one-sided multiplicative shift operators. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 5-13. http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We study the multidimensional integral operators with kernels homogeneous of degree $(-n)$ and invariant under the rotation group, which are perturbated by one-sided multiplicative shift operators. For these operators the invertibility and one-sided invertibility criterions in $L_p$-space are obtained.

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