paper

On upper estimates for approximation numbers of a Laplace type transformation

arXiv:1109.3305 · doi:10.1134/S008154381308018X

Abstract

We deal with a real valued integral operator L of Laplace transformation type acting between Lebesgue spaces on the semi-axis. Sufficient conditions for belonging L to Schatten type classes are obtained. Some upper asymptotic estimates for the approximation numbers of L are also given.

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