On multidimensional integral operators with homogeneous kernels perturbated by one-sided multiplicative shift operators

Avsyankin O. G.
Vladikavkaz Mathematical Journal 2013. Vol. 15. Issue 1.

Abstract:
We study the multidimensional integral operators with kernels homogeneous of degree \((-n)\) and invariant under the rotation group, which are perturbated by  one-sided multiplicative shift operators. For these operators the invertibility and one-sided invertibility criterions in \(L_p\)-space are obtained.

Keywords: integral operator, homogeneous kernel, multiplicative translation, one-sided invertibility

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