Document Zbl 1326.47052

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On multidimensional integral operators with homogeneous kernels perturbed by one-sided multiplicative shift operators. (Russian. English summary) Zbl 1326.47052

Vladikavkaz. Mat. Zh. 15, No. 1, 5-13 (2013).

Summary: 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.

Cited in 3 Documents

MSC:

47G10

Integral operators

Keywords:

integral operator; homogeneous kernel; multiplicative translation; one-sided invertibility

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