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Vladikavkazskii Matematicheskii Zhurnal, 2013, Volume 15, Number 1, Pages 5–13
(Mi vmj444)
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This article is cited in 3 scientific papers (total in 3 papers)
On multidimensional integral operators with homogeneous kernels perturbated by one-sided multiplicative shift operators
O. G. Avsyankin Southern Federal University, Faculty of Mathematics, Mechanics and Computer Sciences, Russia, Rostov-on-Don
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.
Key words:
integral operator, homogeneous kernel, multiplicative translation, one-sided invertibility.
Received: 04.10.2011
Citation:
O. G. Avsyankin, “On multidimensional integral operators with homogeneous kernels perturbated by one-sided multiplicative shift operators”, Vladikavkaz. Mat. Zh., 15:1 (2013), 5–13
Linking options:
https://www.mathnet.ru/eng/vmj444 https://www.mathnet.ru/eng/vmj/v15/i1/p5
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Abstract page: | 310 | Full-text PDF : | 108 | References: | 58 | First page: | 1 |
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