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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.09723 |
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| _version_ | 1866915387948400640 |
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| author | Krylov, N. V. |
| author_facet | Krylov, N. V. |
| contents | We prove that one can extend any $BMO^{x}$ function $a$ given in a cube in $\mathbb{R}^{d+1}$ to become a $BMO^{x}$ functions $\hat a$ in $\mathbb{R}^{d+1}$ almost preserving its $[a]^{\sharp}$ seminorm, which is, loosely speaking, $L_{\infty}$-norm of the maximal function in $t$ and $BMO$-norm in $x$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09723 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extending BMO functions in parabolic setting Krylov, N. V. Analysis of PDEs 42B37, 26E99 We prove that one can extend any $BMO^{x}$ function $a$ given in a cube in $\mathbb{R}^{d+1}$ to become a $BMO^{x}$ functions $\hat a$ in $\mathbb{R}^{d+1}$ almost preserving its $[a]^{\sharp}$ seminorm, which is, loosely speaking, $L_{\infty}$-norm of the maximal function in $t$ and $BMO$-norm in $x$. |
| title | Extending BMO functions in parabolic setting |
| topic | Analysis of PDEs 42B37, 26E99 |
| url | https://arxiv.org/abs/2507.09723 |