Classical non-linear operators in Grand Lebesgue Spaces
Functional Analysis
2021-10-07 v1
Abstract
We study in this short report the boundedness of classical non-linear operators: Nemytskii, Urysohn, Hammerstein acting from one Grand Lebesgue Space to another one, and deduce some its upper norm estimates. We bring also some examples to illustrate the exactness of our estimates.
Keywords
Cite
@article{arxiv.2110.02762,
title = {Classical non-linear operators in Grand Lebesgue Spaces},
author = {M. R. Formica and E. Ostrovsky and L. Sirota},
journal= {arXiv preprint arXiv:2110.02762},
year = {2021}
}