Invertibility of multidimensional integral operators with bihomogeneous kernels

DOI10.1134/S0001434620070287OpenAlexW3047252322MaRDI QIDQ2197258

O. G. Avsyankin

Publication date: 31 August 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620070287

zbMATH Keywords

integral operatorFredholm propertyinvertibilitysymbolic calculushomogeneous kernelbihomogeneous kernel

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (7)

On the Algebra Generated by Volterra Integral Operators with Homogeneous Kernels and Continuous Coefficients ⋮ Projection method for a class of integral operators with bihomogeneous kernels ⋮ On integral operators with homogeneous kernels in weighted Lebesgue spaces on the Heisenberg group ⋮ \(C^\ast\)-algebra generated by integral operators with homogeneous kernels and oscillating coefficients of various types ⋮ On the algebra generated by Volterra integral operators with homogeneous kernels and continuous coefficients ⋮ Homogeneous operators and homogeneous integral operators ⋮ Invertibility of the operators on Hilbert spaces and ideals in \(C^*\)-algebras

Cites Work

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• \(C^\ast\)-algebra of integral operators with homogeneous kernels and oscillating coefficients
• Integral operators with homogeneous kernels in grand Lebesgue spaces
• Boundedness and compactness of multidimensional integral operators with homogeneous kernels
• Calculation of the index of multidimensional integral operators with bihomogeneous kernels
• On certain Toeplitz operators in two variables

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