Asymptotic formulae for s-numbers of a Sobolev embedding and a Volterra type operator
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Sharp upper and lower estimates are obtained of the approximation numbers of a Sobolev embedding involving second derivatives and an integral operator of Volterra type. These lead to asymptotic formulae for the approximation numbers and certain other s-numbers.
KeywordsApproximation numbers Sobolev embedding Volterra-type operator
Mathematics Subject Classification47G10 47B10
The authors would like to thank Prof. B. Kawohl for information about the literature and Prof. P. Drábek and Prof. J. Benedikt for their valuable comments.