The boundedness and the fredholm property of integral operators with anisotropically homogeneous kernels of compact type and variable coefficients
β Scribed by V. M. Deundyak, E. I. Miroshnikova
- Book ID
- 115065160
- Publisher
- Allerton Press, Inc.
- Year
- 2012
- Tongue
- English
- Weight
- 770 KB
- Volume
- 56
- Category
- Article
- ISSN
- 1066-369X
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π SIMILAR VOLUMES
## 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~
A numerical solution method is presented for singular integral equations of the second kind with a generalized Cauchy kernel and variable coe$cients. The solution is constructed in the form of a product of regular and weight functions. The weight function possesses complex singularities at the ends