English

Besov regularity in non-linear generalized functions

Functional Analysis 2023-09-25 v2

Abstract

We introduce and study new modules and spaces of generalized functions that are related to the classical Besov spaces. Various Schwartz distribution spaces are naturally embedded into our new generalized function spaces. We obtain precise criteria for detecting Besov regularity of distributions.

Keywords

Cite

@article{arxiv.2204.13012,
  title  = {Besov regularity in non-linear generalized functions},
  author = {Stevan Pilipović and Dimitris Scarpalézos and Jasson Vindas},
  journal= {arXiv preprint arXiv:2204.13012},
  year   = {2023}
}

Comments

14 pages

R2 v1 2026-06-24T11:00:29.664Z