Inversion of potential-type operators with symbols degenerate on hyperboloids and paraboloids
β Scribed by D. V. Vozhzhov; V. A. Nogin
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2006
- Tongue
- English
- Weight
- 193 KB
- Volume
- 80
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
## Abstract Convolution type operators acting between Bessel potential spaces defined on a union of two finite intervals are studied from the point of view of their regularity properties. The operators are assumed to have kernels with Fourier transforms in the class of piecewise continuous matrix f
## Abstract We consider a class of multidimensional potentialβtype 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__)βplane for which these operators are bounded from __L~p~