Prevalent smoothness in inhomogeneous Besov spaces
arXiv:2512.13160 · doi:10.1016/j.jmaa.2026.131093
Abstract
In this article, we prove that, under some assumptions on the so-called environment, prevalent functions in inhomogeneous Besov spaces recently introduced by Barral-Seuret in 2023 are multifractal, with a singularity spectrum that we determine. This completes the previous Baire generic results already obtained.
27 pages, 2 figures