Peer-reviewedCC BY-NC-ND 4.0Journal of Mathematical Analysis and Applications
Prevalent smoothness in inhomogeneous Besov spaces
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.
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BibTeX
@article{rible2026prevalent,
title = {{Prevalent smoothness in inhomogeneous Besov spaces}},
author = {Quentin Rible},
journal = {Journal of Mathematical Analysis and Applications},
year = {2026},
month = sep,
doi = {10.1016/j.jmaa.2026.131093},
eprint = {2512.13160},
archivePrefix = {arXiv},
url = {https://hal.science/hal-05413485v2},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - JOUR
TI - Prevalent smoothness in inhomogeneous Besov spaces
AU - Quentin Rible
PY - 2026
DA - 2026/09/11
JO - Journal of Mathematical Analysis and Applications
DO - 10.1016/j.jmaa.2026.131093
UR - https://hal.science/hal-05413485v2
AB - 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.
SN - 0022-247X
SN - 1096-0813
ER -