English

Multi-dimensional Besicovitch almost periodic type functions and applications

Functional Analysis 2022-02-23 v1

Abstract

In this paper, we analyze multi-dimensional Besicovitch almost periodic type functions. We clarify the main structural properties for the introduced classes of Besicovitch almost periodic type functions, explore the notion of Besicovitch-Doss almost periodicity in the multi-dimensional setting, and provide some applications of our results to the abstract Volterra integro-differential equations and the partial differential equations.

Keywords

Cite

@article{arxiv.2202.10521,
  title  = {Multi-dimensional Besicovitch almost periodic type functions and applications},
  author = {Marko Kostić},
  journal= {arXiv preprint arXiv:2202.10521},
  year   = {2022}
}
R2 v1 2026-06-24T09:48:40.880Z