Geodesic
Upper estimates for the approximation numbers of the generalized Laplace transform
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 267-287

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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. 
@article{TM_2013_283_a17,
     author = {E. P. Ushakova},
     title = {Upper estimates for the approximation numbers of the generalized {Laplace} transform},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {267--287},
     publisher = {mathdoc},
     volume = {283},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2013_283_a17/}
}
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E. P. Ushakova. Upper estimates for the approximation numbers of the generalized Laplace transform. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function theory and equations of mathematical physics, Tome 283 (2013), pp. 267-287. http://geodesic.mathdoc.fr/item/TM_2013_283_a17/