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

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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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     author = {O. G. Avsyankin},
     title = {On multidimensional integral operators with homogeneous kernels perturbated by one-sided multiplicative shift operators},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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     publisher = {mathdoc},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a0/}
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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/