Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities
| Autor: | Chen, Haixia, Kim, Seunghyeok, Wei, Juncheng |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | By developing a unified approach based on integral representations, we establish sharp quantitative stability estimates for critical points of the fractional Sobolev inequalities induced by the embedding $\dot{H}^s({\mathbb R}^n) \hookrightarrow L^{2n \over n-2s}({\mathbb R}^n)$ in the whole range of $s \in (0,\frac{n}{2})$. Comment: 36 pages; comments welcome |
| Databáze: | arXiv |
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