EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 62 (76), pp. 83--98 (1997)

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Asymptotic behavior of singular values of certain integral operators

Milutin R. Dostani\'c and Darko Z. Milinkovi\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: The exact asymptotics of singular values of a fractional integral operator $$ I^\alpha\cdot=\int\limits^x_0{(x-y)^{\alpha-1}\over\Gamma(\alpha)}\cdot dy $$ for $1/2<\alpha$ is found. The results related to asymptotic behavior of singular values of convolution operators similar to fractional integral operator are given. We also obtained a result about the asymptotic behavior of convolution operators with logarithm-singularity.

Classification (MSC2000): 47B10

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
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