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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 2, Pages 3–11 (Mi vmj575)  
Paired integral operators with homogeneous-difference kernels

O. G. Avsyankin

Institute of Mathematics, Mechanics and Computer Sciences, Southern Federal University, Rostov-on-Don, Russia
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Abstract: We consider the paired multidimensional integral operators with homogeneous-difference kernels, acting in $L_p$-spaces. For these operators the symbol is defined. In term of the symbol the necessary and sufficient conditions for the invertibility of operators are obtained.
Key words: integral operator, homogeneous-difference kernel, symbol, invertibility, spherical harmonics.
Received: 19.11.2015
Document Type: Article
UDC: 517.9
Language: Russian
Citation: O. G. Avsyankin, “Paired integral operators with homogeneous-difference kernels”, Vladikavkaz. Mat. Zh., 18:2 (2016), 3–11
Citation in format AMSBIB
\Bibitem{Avs16}
\by O.~G.~Avsyankin
\paper Paired integral operators with homogeneous-difference kernels
\jour Vladikavkaz. Mat. Zh.
\yr 2016
\vol 18
\issue 2
\pages 3--11
\mathnet{http://mi.mathnet.ru/vmj575}
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