On boundedness of certain integral operators (Q6140453)

The authors deal with certain two-dimensional linear integral operators defined on certain variants of Sobolev-Slobodetskii spaces and on their generalized Banach spaces. They define such integral operators on one of the variants of Sobolev-Slobodetskii spaces (resp., on one of the generalized Banach spaces) and show that the image is in another of the variants (resp., in another of the generalized Banach spaces). They then give sufficient conditions for boundedness of these integral operators.