PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 62 (76), pp. 8398 (1997) 

Asymptotic behavior of singular values of certain integral operatorsMilutin R. Dostani\'c and Darko Z. Milinkovi\'cMatematicki fakultet, Beograd, YugoslaviaAbstract: The exact asymptotics of singular values of a fractional integral operator $$ I^\alpha\cdot=\int\limits^x_0{(xy)^{\alpha1}\over\Gamma(\alpha)}\cdot dy $$ 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 logarithmsingularity. Classification (MSC2000): 47B10 Full text of the article:
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