Generalized almost periodic and generalized asymptotically almost periodic type functions in Lebesgue spaces with variable exponents $L^{p(x)}$
Functional Analysis
2019-03-20 v1
Abstract
In the paper under review, we introduce the notions of various types of generalized (asymptotical) almost periodicity with variable exponents. We define and thoroughly analyze an important subclass of (asymptotically) Stepanov almost periodic functions which contains all (asymptotically) almost periodic functions. We provide a great number of relevant applications to abstract Volterra integro-differential equations in Banach spaces.
Keywords
Cite
@article{arxiv.1903.05873,
title = {Generalized almost periodic and generalized asymptotically almost periodic type functions in Lebesgue spaces with variable exponents $L^{p(x)}$},
author = {Toka Diagana and Marko Kostić},
journal= {arXiv preprint arXiv:1903.05873},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1903.05869