Upper estimates for the approximation numbers of the generalized Laplace transform

E. P. Ushakova

Informatics and Automation, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 267-287.

Résumé

A Laplace-transform-type operator $\mathcal L$ acting in the Lebesgue spaces of real functions on the half-axis is considered. Sufficient conditions under which $\mathcal L$ belongs to some Schatten-type classes are found. Upper asymptotic estimates for the approximation numbers of $\mathcal L$ are obtained.

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