English

Compactness criteria for Stieltjes function spaces and applications

Functional Analysis 2022-11-15 v1

Abstract

In this work we study some topological aspects of function spaces arising in Stieltjes differential calculus. Chief among them are compactness results related to the Ascoli-Arzel\`a and Kolmogorov-Riesz theorems, as well as their applications to Stieltjes-Sobolev spaces and decomposable functions.

Keywords

Cite

@article{arxiv.2211.07279,
  title  = {Compactness criteria for Stieltjes function spaces and applications},
  author = {Francisco J. Fernández and F. Adrián F. Tojo and Carlos Villanueva},
  journal= {arXiv preprint arXiv:2211.07279},
  year   = {2022}
}
R2 v1 2026-06-28T05:47:40.732Z