Generalized $c$-almost periodic type functions in ${\mathbb R}^n$
Functional Analysis
2021-03-31 v1
Abstract
In this paper, we analyze multi-dimensional quasi-asymptotically -almost periodic functions and their Stepanov generalizations as well as multi-dimensional Weyl -almost periodic type functions. We also analyze several important subclasses of the class of multi-dimensional quasi-asymptotically -almost periodic functions and reconsider the notion of semi--periodicity in the multi-dimensional setting, working in the general framework of Lebesgue spaces with variable exponent. We provide certain applications of our results to the abstract Volterra integro-differential equations in Banach spaces.
Cite
@article{arxiv.2103.15821,
title = {Generalized $c$-almost periodic type functions in ${\mathbb R}^n$},
author = {Marko Kostić},
journal= {arXiv preprint arXiv:2103.15821},
year = {2021}
}