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Lp→LqEstimates for Some Potential Type Operators with Oscillating Kernels

✍ Scribed by D. N. Karasev


Book ID
111556160
Publisher
Springer
Year
2003
Tongue
English
Weight
111 KB
Volume
39
Category
Article
ISSN
0012-2661

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On the boundedness of some potential-typ
✍ Denis N. Karasev; Vladimir A. Nogin 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 282 KB

## 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~