Asymptotic behavior of the singular values of a generalization of the operator fractional integration

DOI10.1016/j.jmaa.2010.09.061zbMath1256.47030OpenAlexW1974519404WikidataQ60060325 ScholiaQ60060325MaRDI QIDQ615933

Milutin R. Dostanić

Publication date: 7 January 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.09.061

zbMATH Keywords

asymptotic behaviorsingular valuesfractional powergeneralized fractional integration operator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Integral operators (45P05) Integral operators (47G10)

Cites Work

• Compactness properties of certain integral operators related to fractional integration
• Sharp bounds for singular values of fractional integral operators
• Asymptotic behavior of the singular values of fractional integral operators
• On the singular numbers of certain Volterra integral operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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