BMO-Interpolations and Jump Detection for Functions in $BV\cap BMO$
Functional Analysis
2025-09-05 v1 Analysis of PDEs
Abstract
In this article, we prove interpolation results for in Lorentz spaces. From these results, we derive interpolation theorems in Besov spaces, the space , and fractional Sobolev spaces. As an application, we obtain geometric information about the jump set of functions in .
Keywords
Cite
@article{arxiv.2509.04176,
title = {BMO-Interpolations and Jump Detection for Functions in $BV\cap BMO$},
author = {Paz Hashash and Arkady Poliakovsky},
journal= {arXiv preprint arXiv:2509.04176},
year = {2025}
}