BMO-Interpolations and Jump Detection for Functions in $BV\cap BMO$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908519116046336 |
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| author | Hashash, Paz Poliakovsky, Arkady |
| author_facet | Hashash, Paz Poliakovsky, Arkady |
| contents | In this article, we prove interpolation results for $BMO$ in Lorentz spaces. From these results, we derive interpolation theorems in Besov spaces, the space $BV$, and fractional Sobolev spaces. As an application, we obtain geometric information about the jump set of functions in $BV \cap BMO$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04176 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | BMO-Interpolations and Jump Detection for Functions in $BV\cap BMO$ Hashash, Paz Poliakovsky, Arkady Functional Analysis Analysis of PDEs In this article, we prove interpolation results for $BMO$ in Lorentz spaces. From these results, we derive interpolation theorems in Besov spaces, the space $BV$, and fractional Sobolev spaces. As an application, we obtain geometric information about the jump set of functions in $BV \cap BMO$. |
| title | BMO-Interpolations and Jump Detection for Functions in $BV\cap BMO$ |
| topic | Functional Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2509.04176 |