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Extended domains of some integral operators with rapidly oscillating kernels

✍ Scribed by Iwo Labuda; P. Szeptycki


Book ID
108047006
Publisher
Elsevier Science
Year
1986
Weight
559 KB
Volume
89
Category
Article
ISSN
1385-7258

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On the boundedness of some potential-typ
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## Abstract We consider a class of multidimensional potential‐type 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__)‐plane for which these operators are bounded from __L~p~