Geodesic
Paired integral operators with homogeneous-difference kernels
Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 3-11

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We consider the paired multidimensional integral operators with homogeneous-difference kernels, acting in $L_p$-spaces. For these operators the symbol is defined. In term of the symbol the necessary and sufficient conditions for the invertibility of operators are obtained. 
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     author = {O. G. Avsyankin},
     title = {Paired integral operators with homogeneous-difference kernels},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {3--11},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a0/}
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O. G. Avsyankin. Paired integral operators with homogeneous-difference kernels. Vladikavkazskij matematičeskij žurnal, Tome 18 (2016) no. 2, pp. 3-11. http://geodesic.mathdoc.fr/item/VMJ_2016_18_2_a0/