Nemytskii operators between Stepanov almost periodic or almost automorphic function spaces
Classical Analysis and ODEs
2019-10-22 v1
Abstract
We study the superposition operators (also called Nemytskii operators) between spaces of almost periodic (respectively almost automorphic) functions in the sense of Stepanov. We state new results on the superposition, notably we give a necessary and sufficient condition for that these operators are well-defined and continuous.
Keywords
Cite
@article{arxiv.1910.09389,
title = {Nemytskii operators between Stepanov almost periodic or almost automorphic function spaces},
author = {Philippe Cieutat},
journal= {arXiv preprint arXiv:1910.09389},
year = {2019}
}