Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents $L^{p(x)}$
Functional Analysis
2019-03-15 v1
Abstract
The paper introduces and studies the class of (asymptotically) Stepanov almost automorphic functions with variable exponents. Any function belonging this class needs to be (asymptotically) Stepanov almost automorphic. A few relevant applications to abstract Volterra integro-differential inclusions in Banach spaces is presented.
Keywords
Cite
@article{arxiv.1903.05869,
title = {Almost automorphic and asymptotically almost automorphic type functions in Lebesgue spaces with variable exponents $L^{p(x)}$},
author = {Toka Diagana and Marko Kostić},
journal= {arXiv preprint arXiv:1903.05869},
year = {2019}
}