Geodesic
On boundedness and compactness of multidimensional integral operators with homogeneous kernels
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2013), pp. 64-68

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We obtain sufficient conditions for the boundedness and compactness of multidimensional integral operators with homogeneous kernels acting from a weighted $L_p$-space to a weighted $L_q$-space.
Keywords: multidimensional integral operator, homogeneous kernel, boundedness, compactness. 
@article{IVM_2013_11_a4,
     author = {O. G. Avsyankin and F. G. Peretyat'kin},
     title = {On boundedness and compactness of multidimensional integral operators with homogeneous kernels},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--68},
     publisher = {mathdoc},
     number = {11},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_11_a4/}
}
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O. G. Avsyankin; F. G. Peretyat'kin. On boundedness and compactness of multidimensional integral operators with homogeneous kernels. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2013), pp. 64-68. http://geodesic.mathdoc.fr/item/IVM_2013_11_a4/