New Bellman induction and a weak version of $\mathrm{BMO}$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914738485592064 |
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| author | Dobronravov, Egor Stolyarov, Dmitriy Zatitskii, Pavel |
| author_facet | Dobronravov, Egor Stolyarov, Dmitriy Zatitskii, Pavel |
| contents | We enlarge the area of applicability of the Bellman function method to estimates in the spirit of the John--Nirenberg inequality abandoning certain convexity assumptions. As an application, we consider a characteristic of a function that is much smaller than the $\mathrm{BMO}$ norm, but whose finiteness leads to the exponential integrability of the function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01707 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Bellman induction and a weak version of $\mathrm{BMO}$ Dobronravov, Egor Stolyarov, Dmitriy Zatitskii, Pavel Classical Analysis and ODEs Analysis of PDEs We enlarge the area of applicability of the Bellman function method to estimates in the spirit of the John--Nirenberg inequality abandoning certain convexity assumptions. As an application, we consider a characteristic of a function that is much smaller than the $\mathrm{BMO}$ norm, but whose finiteness leads to the exponential integrability of the function. |
| title | New Bellman induction and a weak version of $\mathrm{BMO}$ |
| topic | Classical Analysis and ODEs Analysis of PDEs |
| url | https://arxiv.org/abs/2404.01707 |