Boundedness of Bilinear Bessel Potentials
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866918391957159936 |
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| author | Čolović, Ana Gao, Xinyu |
| author_facet | Čolović, Ana Gao, Xinyu |
| contents | In analogy with bilinear Riesz potentials, we introduce bilinear Bessel potentials and characterize their boundedness from $L^p\times L^q$ into Lebesgue and Lorentz spaces $L^{r,α}.$ In several cases we identify the optimal Lorentz indices by constructing explicit counterexamples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15962 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Boundedness of Bilinear Bessel Potentials Čolović, Ana Gao, Xinyu Functional Analysis In analogy with bilinear Riesz potentials, we introduce bilinear Bessel potentials and characterize their boundedness from $L^p\times L^q$ into Lebesgue and Lorentz spaces $L^{r,α}.$ In several cases we identify the optimal Lorentz indices by constructing explicit counterexamples. |
| title | Boundedness of Bilinear Bessel Potentials |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2603.15962 |