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On equivalent criteria for the boundedness of Hardy type operators on the cone of decreasing functions

✍ Scribed by M. L. Goldman


Publisher
Springer
Year
2011
Tongue
English
Weight
218 KB
Volume
37
Category
Article
ISSN
0133-3852

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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~