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On the properties of a Riesz potential with oscillating kernel

✍ Scribed by Arbuzov, È. V.


Book ID
125393714
Publisher
SP MAIK Nauka/Interperiodica
Year
2014
Tongue
English
Weight
172 KB
Volume
55
Category
Article
ISSN
0037-4466

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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~