Oscillatory integrals with polynomial phase and regularity of distributions
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908628160610304 |
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| author | Kosov, Egor |
| author_facet | Kosov, Egor |
| contents | We obtain dimension-free estimates for the modulus of continuity of densities of polynomial images of $s$-concave and product measures. As a consequence, we settle a conjecture of A. Carbery and J. Wright (2001) on sharp upper bounds for oscillatory integrals over convex sets with polynomial phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02679 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Oscillatory integrals with polynomial phase and regularity of distributions Kosov, Egor Functional Analysis Classical Analysis and ODEs Primary 52A05, 42B10, Secondary 26B30, 26D05 We obtain dimension-free estimates for the modulus of continuity of densities of polynomial images of $s$-concave and product measures. As a consequence, we settle a conjecture of A. Carbery and J. Wright (2001) on sharp upper bounds for oscillatory integrals over convex sets with polynomial phase. |
| title | Oscillatory integrals with polynomial phase and regularity of distributions |
| topic | Functional Analysis Classical Analysis and ODEs Primary 52A05, 42B10, Secondary 26B30, 26D05 |
| url | https://arxiv.org/abs/2511.02679 |