On the boundedness of some potential-typ
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Denis N. Karasev; Vladimir A. Nogin
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Article
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2005
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John Wiley and Sons
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English
β 282 KB
## Abstract We consider a class of multidimensional potentialβtype operators with kernels that have singularities at the origin and on the unit sphere and that are oscillating at infinity. We describe some convex sets in the (1/__p,__ 1/__q__)βplane for which these operators are bounded from __L~p~