English

On upper estimates for approximation numbers of a Laplace type transformation

Functional Analysis 2017-09-01 v1

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.

Keywords

Cite

@article{arxiv.1109.3305,
  title  = {On upper estimates for approximation numbers of a Laplace type transformation},
  author = {Elena P. Ushakova},
  journal= {arXiv preprint arXiv:1109.3305},
  year   = {2017}
}