On general Caffarelli-Kohn-Nirenberg type inequalities involving non-doubling weights in the case of $p=1$
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912789103116288 |
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| author | Horiuchi, Toshio |
| author_facet | Horiuchi, Toshio |
| contents | We study the Caffarelli-Kohn-Nirenberg type inequalities in the case of $p=1$ and generalize them adopting weight functions
$w(|x|)$ on $R^n$ with $w(t)$ in ${W}(R_+)$. Here ${W}(R_+)$ is a general class of weight functions on $R_+$ including non-doubling weights like $e^{1/t}$ and $e^{-1/t}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_21492 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On general Caffarelli-Kohn-Nirenberg type inequalities involving non-doubling weights in the case of $p=1$ Horiuchi, Toshio Analysis of PDEs Primary 35J70, Secondary 35J60 We study the Caffarelli-Kohn-Nirenberg type inequalities in the case of $p=1$ and generalize them adopting weight functions $w(|x|)$ on $R^n$ with $w(t)$ in ${W}(R_+)$. Here ${W}(R_+)$ is a general class of weight functions on $R_+$ including non-doubling weights like $e^{1/t}$ and $e^{-1/t}$. |
| title | On general Caffarelli-Kohn-Nirenberg type inequalities involving non-doubling weights in the case of $p=1$ |
| topic | Analysis of PDEs Primary 35J70, Secondary 35J60 |
| url | https://arxiv.org/abs/2512.21492 |