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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.11724 |
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Table of Contents:
- We provide new characterizations of the $BMO$-Sobolev space $I_α(BMO)$ for the range $0 < α<2$. When $0 < α<1$, our characterizations are in terms of square functions measuring multiscale approximation of constants, and when $1 \leq α<2$ our characterizations are in terms of square functions measuring multiscale approximation by linear functions.