Jonathan Bennett

Publications

  1. 2021
  2. Published

    Fourier duality in the Brascamp-Lieb inequality

    Jonathan Bennett & , 27 Sep 2021, In: Mathematical Proceedings of the Cambridge Philosophical Society. p. 1-23 23 p.

    Research output: Contribution to journalArticlepeer-review

  3. Published

    Tomography bounds for the Fourier extension operator and applications

    Jonathan Bennett & , Jun 2021, In: Mathematische Annalen. 380, 1-2, p. 119–159 41 p.

    Research output: Contribution to journalArticlepeer-review

  4. 2020
  5. Published

    On the nonlinear Brascamp-Lieb inequality

    Jonathan Bennett, , Stefan Buschenhenke, Michael Cowling & Taryn Flock, 15 Nov 2020, In: Duke Mathematical Journal. 169, 17, p. 3291-3338 48 p.

    Research output: Contribution to journalArticlepeer-review

  6. Published

    A supersolutions perspective on hypercontractivity

    Jonathan Bennett, Neal Bez, , & , 18 Feb 2020, In: Annali di Matematica Pura ed Applicata. 199

    Research output: Contribution to journalArticlepeer-review

  7. 2019
  8. Published

    Generating monotone quantities for the heat equation

    Jonathan Bennett & Neal Bez, 1 Nov 2019, In: Journal fuer die Reine und Angewandte Mathematik: Crelle's journal . 2019, 756, p. 37–63 27 p.

    Research output: Contribution to journalArticlepeer-review

  9. 2018
  10. Published

    A multilinear Fourier extension identity on Rn

    Jonathan Bennett & Marina Iliopoulou, 16 Nov 2018, In: Mathematical Research Letters. 25, 4, p. 1089-1108

    Research output: Contribution to journalArticlepeer-review

  11. Published

    Estimates for the kinetic transport equation in hyperbolic Sobolev spaces

    Jonathan Bennett, Neal Bez, Susana Gutierrez & , Jun 2018, In: Journal de Mathematiques Pures et Appliquees . 114, p. 1-28 28 p.

    Research output: Contribution to journalArticlepeer-review

  12. Published

    Stability of the Brascamp-Lieb constant and applications

    Jonathan Bennett, Neal Bez, Taryn Flock & , Apr 2018, In: American Journal of Mathematics. 140, 2, p. 543-569 28 p.

    Research output: Contribution to journalArticlepeer-review

  13. Published

    A sharp k-plane Strichartz inequality for the Schrödinger equation

    Jonathan Bennett, , Taryn Flock, Susana Gutierrez & Marina Iliopoulou, 20 Mar 2018, In: Transactions of the American Mathematical Society. 370, 8, p. 5617-5633 17 p.

    Research output: Contribution to journalArticlepeer-review

  14. 2017
  15. Published

    Behaviour of the Brascamp--Lieb constant

    Jonathan Bennett, , Michael Cowling & Taryn Flock, Jun 2017, In: Bulletin of the London Mathematical Society. 49, 3, p. 512-518 7 p.

    Research output: Contribution to journalArticlepeer-review

  16. Published

    Subdyadic square functions and applications to weighted harmonic analysis

    Jonathan Bennett, 5 Feb 2017, In: Advances in Mathematics. 307, p. 72-99 28 p.

    Research output: Contribution to journalArticlepeer-review

  17. Published

    On sharp bilinear Strichartz estimates of Ozawa-Tsutsumi type

    Jonathan Bennett, Neal Bez, & Nikos Pattakos, 2017, In: Journal of the Mathematical Society of Japan. 69, 2, p. 459-476

    Research output: Contribution to journalArticlepeer-review

  18. 2015
  19. Published

    Flow monotonicity and Strichartz inequalities

    Jonathan Bennett, Neal Bez & Marina Iliopoulou, 1 Jan 2015, In: International Mathematics Research Notices. 2015, 19, p. 9415–9437

    Research output: Contribution to journalArticlepeer-review

  20. 2014
  21. Published

    Optimal control of singular Fourier multipliers by maximal operators

    Jonathan Bennett, 18 Oct 2014, In: Analysis and PDE. 7, 6, p. 1317–1338 22 p.

    Research output: Contribution to journalArticlepeer-review

  22. Published

    Aspects of Multilinear Harmonic Analysis Related to Transversality

    Jonathan Bennett, 21 May 2014, In: Contemporary Mathematics.

    Research output: Contribution to journalArticlepeer-review

  23. Published

    On the Strichartz estimates for the kinetic transport equation

    Jonathan Bennett, Neal Bez, Susana Gutierrez & , 2014, In: Communications in Partial Differential Equations. 39, 10, p. 1821-1826

    Research output: Contribution to journalArticlepeer-review

  24. 2013
  25. Published

    Global Nonlinear Brascamp–Lieb Inequalities

    Jonathan Bennett, Neal Bez & Susana Gutierrez, 1 Oct 2013, In: Journal of Geometric Analysis. 23, 4, p. 1806-1817 12 p.

    Research output: Contribution to journalArticlepeer-review

  26. Published

    Transversal multilinear Radon-like transforms: Local and global estimates

    Jonathan Bennett, Neal Bez & Susana Gutierrez, 1 Jan 2013, In: Revista Matematica Iberoamericana. 29, 3, p. 765-788 24 p.

    Research output: Contribution to journalArticlepeer-review

  27. 2012
  28. Published

    Prizewinners 2011

    Jonathan Bennett, 1 Jun 2012, In: Bulletin of the London Mathematical Society. 44, 3, p. 626-630 5 p.

    Research output: Contribution to journalArticle

  29. Published

    Weighted norm inequalities for oscillatory integrals with finite type phases on the line

    Jonathan Bennett & , 1 Mar 2012, In: Advances in Mathematics. 229, 4, p. 2159-2183 25 p.

    Research output: Contribution to journalArticle

  30. Published

    A majorant problem for the Schrodinger group

    Jonathan Bennett & Neal Bez, 2012, RIMS Kokyuroku Bessatsu. p. 1-10 11 p. (RIMS Kokyuroku Bessatsu; vol. B33).

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

  31. 2011
  32. Published

    On the dimension of divergence sets of dispersive equations

    Jonathan Bennett, & , 1 Mar 2011, In: Mathematische Annalen. 349, 3, p. 599-622 24 p.

    Research output: Contribution to journalArticle

  33. 2010
  34. Published

    Some nonlinear Brascamp–Lieb inequalities and applications to harmonic analysis

    Jonathan Bennett & Neal Bez, 15 Nov 2010, In: Journal of Functional Analysis. 259, 10, p. 2520-2556 37 p.

    Research output: Contribution to journalArticle

  35. Published

    Finite Bounds for Holder-Brascamp-Lieb Multilinear Inequalities

    Jonathan Bennett, , & , 1 Jul 2010, In: Mathematical Research Letters. 17, 4, p. 647-666 20 p.

    Research output: Contribution to journalArticlepeer-review

  36. Published

    Heat flow monotonicity related to some inequalities in euclidean analysis

    Jonathan Bennett, 1 Feb 2010, p. 85-96. 12 p.

    Research output: Contribution to conference (unpublished)Paper

  37. Published

    Strichartz inequalities with weights in Morrey-Campanato classes

    Jonathan Bennett, , & , 1 Feb 2010, In: Collectanea mathematica. 61, 1, p. 49-56 8 p.

    Research output: Contribution to journalArticle

  38. 2009
  39. Published

    Local smoothing for Kato potentials in three dimensions

    Jonathan Bennett, & , 1 Oct 2009, In: Mathematische Nachrichten. 282, 10, p. 1391-1405 15 p.

    Research output: Contribution to journalArticle

  40. Published

    Heat-flow monotonicity related to the Hausdorff-Young inequality

    Jonathan Bennett, Neal Bez & , 3 Sep 2009, In: Bulletin of the London Mathematical Society. 41, p. 971-979 9 p.

    Research output: Contribution to journalArticlepeer-review

  41. Published

    Closure properties of solutions to heat inequalities

    Jonathan Bennett & Neal Bez, 1 Jul 2009, In: Journal of Geometric Analysis. 19, 3, p. 584-600 17 p.

    Research output: Contribution to journalArticle

  42. Published

    Heat-flow monotonicity of Strichartz norms

    Jonathan Bennett, Neal Bez, & , 1 Jan 2009, In: Analysis and PDE. 2, 2, p. 147-158 12 p.

    Research output: Contribution to journalArticle

  43. Published

    The Fourier extension operator on large spheres and related oscillatory integrals

    Jonathan Bennett & , 1 Jan 2009, In: London Mathematical Society. Proceedings . 98, 1, p. 45-82 38 p.

    Research output: Contribution to journalArticle

  44. 2008
  45. Published

    A Note on Localised Weighted Inequalities for the Extension Operator

    Jonathan Bennett, & , 22 Sep 2008, In: Journal of the Australian Mathematical Society. 84, 03, p. 289-299 11 p.

    Research output: Contribution to journalArticle

  46. Published

    A note on weighted estimates for the Schrodinger operator

    Jonathan Bennett, , & , 1 Jan 2008, In: Revista Matematica Complutense. 21, p. 481-488 8 p.

    Research output: Contribution to journalArticle

  47. Published

    Real Analysis, Harmonic Analysis and Applications

    Jonathan Bennett, 1 Jan 2008, p. 1771-1850. 80 p.

    Research output: Contribution to conference (unpublished)Abstract

  48. Published

    The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals

    Jonathan Bennett, , & , 1 Jan 2008, In: Geometric and Functional Analysis. 17, 5, p. 1343-1415 73 p.

    Research output: Contribution to journalArticle

  49. 2007
  50. Published

    Some special solutions of the Schr\"odinger equation

    Jonathan Bennett, , & , 1 Jan 2007, In: Indiana University Mathematics Journal. 56, 4, p. 1581-1593 13 p.

    Research output: Contribution to journalArticle

  51. 2006
  52. Published

    A Stein Conjecture for the Circle

    Jonathan Bennett, , & , 1 Nov 2006, In: Mathematische Annalen. 336, 3, p. 671-695 25 p.

    Research output: Contribution to journalArticle

  53. Published

    On the multilinear restriction and Kakeya conjectures

    Jonathan Bennett, & , 30 Oct 2006, In: Acta Mathematica. 196, 2, p. 261-302 42 p.

    Research output: Contribution to journalArticle

  54. Published

    Spherical perturbations of Schrodinger equations

    Jonathan Bennett & , 1 Jun 2006, In: Journal of Fourier Analysis and Applications. 12, 3, p. 269-290 22 p.

    Research output: Contribution to journalArticle

  55. 2005
  56. Published

    A non-linear generalisation of the Loomis-Whitney inequality and applications

    Jonathan Bennett, & , 1 Jan 2005, In: Mathematical Research Letters. 12, 4, p. 443-457 15 p.

    Research output: Contribution to journalArticle

  57. 2004
  58. Published
  59. 2003
  60. Published

    Mapping properties of a projection related to the Helmholtz Equation

    Jonathan Bennett & , 1 Jan 2003, In: Journal of Fourier Analysis and Applications. 6, 9, p. 541-562 22 p.

    Research output: Contribution to journalArticle

  61. Published

    Randomised Circular Means of Fourier Transforms of Measures

    Jonathan Bennett & , 1 Jan 2003, In: Proceedings of the American Mathematical Society. 131, 1, p. 117-127 11 p.

    Research output: Contribution to journalArticle

  62. 2002
  63. Published

    Hilbert Transforms and Maximal Functions along variable flat curves

    Jonathan Bennett, 1 Jan 2002, In: Transactions of the American Mathematical Society. 201, 12, p. 4871-4892 22 p.

    Research output: Contribution to journalArticle

  64. 1999
  65. Published

    A Multilinear Extension Inequality in $\R^n$

    Jonathan Bennett & , 1 Jan 1999, In: Bulletin of the London Mathematical Society. 36, 3, p. 407-412 6 p.

    Research output: Contribution to journalArticle

  66. Published

    A Multiplier Reaction for Calderon-Zygmund Operators on $L^1 (\R^n)$

    Jonathan Bennett, 1 Jan 1999, In: Proceedings of the American Mathematical Society. 127, 3, p. 715-723 9 p.

    Research output: Contribution to journalArticle