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Some criteria for boundedness and compactness of the Hardy operator with some special kernels

✍ Scribed by Alois Kufner, Komil Kuliev, Ryskul Oinarov


Book ID
120732785
Publisher
Hindawi Publishing Corporation
Year
2013
Tongue
English
Weight
221 KB
Volume
2013
Category
Article
ISSN
1025-5834

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On the boundedness of some potential-typ
✍ Denis N. Karasev; Vladimir A. Nogin πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 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~