Bounded operators on mixed norm Lebesgue spaces
Functional Analysis
2020-03-25 v2 Classical Analysis and ODEs
Abstract
We study two classes of bounded operators on mixed norm Lebesgue spaces, namely composition operators and product operators. A complete description of bounded composition operators on mixed norm Lebesgue spaces are given. For a certain class of integral operators, we provide sufficient conditions for boundedness. We conclude by applying the developed technique to the investigation of Hardy-Steklov type operators.
Cite
@article{arxiv.1711.02453,
title = {Bounded operators on mixed norm Lebesgue spaces},
author = {Nikita Evseev and Alexander Menovschikov},
journal= {arXiv preprint arXiv:1711.02453},
year = {2020}
}
Comments
10 pages