On the dependence of asymptotics ofs-numbers of fractional integration operators on weight functions

DOI10.1080/10652469708819136zbMath0912.47011OpenAlexW2073084426MaRDI QIDQ4389791

Rudolf Gorenflo, Stefan G. Samko

Publication date: 16 May 1999

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469708819136

zbMATH Keywords

singular value decompositionssingular value asymptoticsRiesz potential operatorsweighted \(L_2\) spacesfractional integration operatorweighted spaces of square-integrable functions

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fractional derivatives and integrals (26A33) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (2)

Singularity characterization by monoscale analysis: Application to seismic imaging ⋮ Professor Rudolf Gorenflo and his contribution to fractional calculus

Cites Work

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• Two-sided estimates on singular values for a class of integral operators on the semi-axis
• Asymptotics of singular values of fractional integral operators
• Singular value decomposition of fractional integration operators in L2-spaces with weights

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