Geodesic
Boundedness of integral operators in weighted Sobolev spaces
Izvestiya. Mathematics , Tome 78 (2014) no. 4, pp. 836-853

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We obtain criteria for some classes of integral operators of Volterra type to be bounded operators from one weighted Sobolev space into another weighted Sobolev space.
Keywords: integral operators, weighted Lebesgue space, weighted Sobolev space, boundedness. 
@article{IM2_2014_78_4_a6,
     author = {R. Oinarov},
     title = {Boundedness of integral operators in weighted {Sobolev} spaces},
     journal = {Izvestiya. Mathematics },
     pages = {836--853},
     publisher = {mathdoc},
     volume = {78},
     number = {4},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2014_78_4_a6/}
}
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R. Oinarov. Boundedness of integral operators in weighted Sobolev spaces. Izvestiya. Mathematics , Tome 78 (2014) no. 4, pp. 836-853. http://geodesic.mathdoc.fr/item/IM2_2014_78_4_a6/