Sharp Estimates for some Integral-Geometric Quantities Related To Transversality, Curvature And Visibility
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866914168498552832 |
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| author | Brazitikos, Silouanos Liakopoulos, Dimitris-Marios |
| author_facet | Brazitikos, Silouanos Liakopoulos, Dimitris-Marios |
| contents | We investigate integral-geometric quantities arising from harmonic analysis which measure visibility and transversality. Motivated by their applications in multilinear Kakeya problems and affine-invariant measures on surfaces, we derive exact lower and upper bounds employing geometric and functional inequalities of convex geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18602 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp Estimates for some Integral-Geometric Quantities Related To Transversality, Curvature And Visibility Brazitikos, Silouanos Liakopoulos, Dimitris-Marios Functional Analysis 52A22, 52A39 We investigate integral-geometric quantities arising from harmonic analysis which measure visibility and transversality. Motivated by their applications in multilinear Kakeya problems and affine-invariant measures on surfaces, we derive exact lower and upper bounds employing geometric and functional inequalities of convex geometry. |
| title | Sharp Estimates for some Integral-Geometric Quantities Related To Transversality, Curvature And Visibility |
| topic | Functional Analysis 52A22, 52A39 |
| url | https://arxiv.org/abs/2511.18602 |