A note on bilinear multipliers with convex singularities
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918012599140352 |
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| author | Ciccone, Valentina |
| author_facet | Ciccone, Valentina |
| contents | We study bounds in the local $L^2$ range of exponents for bilinear multipliers whose symbol is the characteristic function of the epigraph of certain convex curves. We realize these bounds as a consequence of estimates that we establish, via simple arguments, for the associated exotic paraproducts. As a further application, we observe bounds beyond the local $L^2$ range for bilinear multipliers whose symbol is the characteristic function of the epigraph of convex polygonal curves associated with these paraproducts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_04517 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on bilinear multipliers with convex singularities Ciccone, Valentina Classical Analysis and ODEs 42A45 We study bounds in the local $L^2$ range of exponents for bilinear multipliers whose symbol is the characteristic function of the epigraph of certain convex curves. We realize these bounds as a consequence of estimates that we establish, via simple arguments, for the associated exotic paraproducts. As a further application, we observe bounds beyond the local $L^2$ range for bilinear multipliers whose symbol is the characteristic function of the epigraph of convex polygonal curves associated with these paraproducts. |
| title | A note on bilinear multipliers with convex singularities |
| topic | Classical Analysis and ODEs 42A45 |
| url | https://arxiv.org/abs/2505.04517 |