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On ℒ Characteristic of Some Potential Type Operators with Oscillating Symbols and Singularities of the Kernels on a Sphere

✍ Scribed by A.N. Karapetyants; V.A. Nogin


Book ID
110323987
Publisher
Akadmiai Kiad
Year
2001
Tongue
English
Weight
246 KB
Volume
92
Category
Article
ISSN
1588-2632

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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~