Recent publications
Article
Bennett, J & Jeong, E 2021, 'Fourier duality in the Brascamp-Lieb inequality', Mathematical Proceedings of the Cambridge Philosophical Society, pp. 1-23. https://doi.org/10.1017/S0305004121000608
Bennett, J & Nakamura, S 2021, 'Tomography bounds for the Fourier extension operator and applications', Mathematische Annalen, vol. 380, no. 1-2, pp. 119–159. https://doi.org/10.1007/s00208-020-02131-0
Aoki, Y, Bennett, J, Bez, N, Machihara, S, Matsuura, K & Shiraki, S 2020, 'A supersolutions perspective on hypercontractivity', Annali di Matematica Pura ed Applicata, vol. 199.
Bennett, J, Bez, N, Buschenhenke, S, Cowling, MG & Flock, TC 2020, 'On the nonlinear Brascamp-Lieb inequality', Duke Mathematical Journal, vol. 169, no. 17, pp. 3291-3338. https://doi.org/10.1215/00127094-2020-0027
Bennett, J & Bez, N 2019, 'Generating monotone quantities for the heat equation', Journal fuer die Reine und Angewandte Mathematik: Crelle's journal , vol. 2019, no. 756, pp. 37–63. https://doi.org/10.1515/crelle-2017-0025
Bennett, J & Iliopoulou, M 2018, 'A multilinear Fourier extension identity on Rn', Mathematical Research Letters, vol. 25, no. 4, pp. 1089-1108. https://doi.org/10.4310/MRL.2018.v25.n4.a2
Bennett, J, Bez, N, Flock, TC, Gutiérrez, S & Iliopoulou, M 2018, 'A sharp k-plane Strichartz inequality for the Schrödinger equation', Transactions of the American Mathematical Society, vol. 370, no. 8, pp. 5617-5633 . https://doi.org/10.1090/tran/7309
Bennett, J, Bez, R, Gutierrez, S & Lee, S 2018, 'Estimates for the kinetic transport equation in hyperbolic Sobolev spaces', Journal de Mathematiques Pures et Appliquees , vol. 114, pp. 1-28. https://doi.org/10.1016/j.matpur.2018.03.007
Bennett, J, Bez, N, Flock, TC & Lee, S 2018, 'Stability of the Brascamp-Lieb constant and applications', American Journal of Mathematics, vol. 140, no. 2, pp. 543-569. https://doi.org/10.1353/ajm.2018.0013
Bennett, J, Bez, N, Cowling, MG & Flock, TC 2017, 'Behaviour of the Brascamp--Lieb constant', Bulletin of the London Mathematical Society, vol. 49, no. 3, pp. 512-518. https://doi.org/10.1112/blms.12049
Bennett, J, Bez, N, Jeavons, C & Pattakos, N 2017, 'On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type', Journal of the Mathematical Society of Japan, vol. 69, no. 2, pp. 459-476. https://doi.org/10.2969/jmsj/06920459
Beltran, D & Bennett, J 2017, 'Subdyadic square functions and applications to weighted harmonic analysis', Advances in Mathematics, vol. 307, pp. 72-99. https://doi.org/10.1016/j.aim.2016.11.018
Conference article
Bennett, J & Bez, N 2021, 'Higher order transversality in harmonic analysis', RIMS Kokyuroku Bessatsu, vol. B88, pp. 75-103. <http://hdl.handle.net/2433/268946>
Preprint
Bennett, J & Tao, T 2023 'Adjoint Brascamp-Lieb inequalities' arXiv, pp. 1-43. https://doi.org/10.48550/arXiv.2306.16558
Bennett, J, Nakamura, S & Shiraki, S 2022 'Tomographic Fourier Extension Identities for Submanifolds of Rn' arXiv, pp. 1-9. https://doi.org/10.48550/arXiv.2212.12348
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