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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.
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
Language: Russian Download the full text
For citation: Avsyankin O. G. On multidimensional integral operators with homogeneous kernels† perturbated by one-sided multiplicative shift operators // Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], vol. 15, no. 1, pp. 5-13. DOI 10.23671/VNC.2013.1.10501
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