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Kakeya–Brascamp–Lieb inequalities

Published:2019-11-15 Issue:3 Volume:71 Page:471-492
ISSN:0010-0757
Container-title:Collectanea Mathematica
language:en
Short-container-title:Collect. Math.

Author:

Zorin-Kranich Pavel^ORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s13348-019-00273-2.pdf

Reference27 articles.

1. Bennett, J., Bez, N., Gutiérrez, S.: Transversal multilinear Radon-like transforms: local and global estimates. Rev. Mat. Iberoam. 29(3), 765–788 (2013). https://doi.org/10.4171/RMI/739

2. Bennett, J., Carbery, A., Tao, T.: On the multilinear restriction and Kakeya conjectures. Acta Math. 196(2), 261–302 (2006). https://doi.org/10.1007/s11511-006-0006-4. arXiv:math/0509262

3. Bourgain, J., Demeter, C.: The proof of the $$l^2$$ decoupling conjecture. Ann. Math. (2) 182(1), 351–389 (2015). https://doi.org/10.4007/annals.2015.182.1.9. arXiv:1403.5335 [math.CA]

4. Bourgain, J., Demeter, C.: A study guide for the $$l^2$$ decoupling theorem. Chin. Ann. Math. Ser. B 38(1), 173–200 (2017). https://doi.org/10.1007/s11401-016-1066-1. arXiv:1604.06032 [math.CA]

5. Bourgain, J., Demeter, C., Guth, L.: Proof of the main conjecture in Vinogradov’s mean value theorem for degrees higher than three. Ann. Math. (2) 184(2), 633–682 (2016). https://doi.org/10.4007/annals.2016.184.2.7. arXiv:1512.01565 [math.NT]

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4. An Algebraic Brascamp–Lieb Inequality;The Journal of Geometric Analysis;2021-03-29

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