Boundedness and compactness of multidimensional integral operators with homogeneous kernels

DOI10.3103/S1066369X13110054zbMath1284.45004MaRDI QIDQ2439395

O. G. Avsyankin, F. G. Peretyat'kin

Publication date: 14 March 2014

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundednesscompactnesshomogeneous kernelmultidimensional integral operator

Mathematics Subject Classification ID

Integral operators (45P05) Integral operators (47G10)

Related Items (7)

Unnamed Item ⋮ Invertibility of multidimensional integral operators with bihomogeneous kernels ⋮ Multidimensional integral operators with homogeneous kernels and with coefficients oscillating at infinity ⋮ Volterra type integral operators with homogeneous kernels in weighted \(L_p\)-spaces ⋮ On integral operators with homogeneous kernels and trigonometric coefficients ⋮ Paired integral operators with homogeneous kernels perturbated by operators of multiplicative shift ⋮ On the \(C^\ast\)-algebra generated by multiplicative discrete convolution operators with oscillating coefficients

Cites Work

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• Projection method in the theory of integral operators with homogeneous kernels
• On the \(C^*\)-algebra generated by multidimensional integral operators with homogeneous kernels and multiplicative translations
• Necessary conditions for the boundedness of an operator with nonnegative quasihomogeneous kernel
• On the algebra of pair integral operators with homogeneous kernels

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