Hessian of Bellman functions and uniqueness of the Brascamp-Lieb inequality

作者:Ivanisvili P*; Volberg A
来源:Journal of the London Mathematical Society-Second Series, 2015, 92(3): 657-674.
DOI:10.1112/jlms/jdv040

摘要

Under some assumptions on the vectors a(1),..., a(n) is an element of R-k and the function B : R-n -> R, we find the sharp estimate of the expression integral(k)(R) B(u(1)(a(1) . x),..., u(n)(a(n) . x)) dx in terms of integral(R) u(j)(y) dy, j = 1,..., n. In some particular case, we will show that these assumptions on B imply that there is only one Brascamp-Lieb inequality.

  • 出版日期2015-12