Composition principles for generalized almost periodic functions

Marko Kostic

Composition principles for generalized almost periodic functions

Functional Analysis 2018-10-08 v1

Authors: Marko Kostic

Abstract

In this paper, we consider composition principles for generalized almost periodic functions. We prove several new composition principles for the classes of (asymptotically) Stepanov $p$ -almost periodic functions and (asymptotically, equi-)Weyl $p$ -almost periodic functions, where $1\leq p<\infty ,$ and explain how we can use some of them in the qualitative analysis of solutions for certain classes of abstract semilinear Cauchy inclusions in Banach spaces.

Keywords

approximation theory banach space

Cite

@article{arxiv.1810.02381,
  title  = {Composition principles for generalized almost periodic functions},
  author = {Marko Kostic},
  journal= {arXiv preprint arXiv:1810.02381},
  year   = {2018}
}

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