2 papers
math.CA2019
Regularized Brascamp-Lieb inequalities and an application
Dominique Maldague
We present a regularized version of Hölder-Brascamp-Lieb inequalities studied by Bennett, Carbery, Christ, and Tao. These inequalities lead to a generalization of the multilinear K…
math.CA2018
A constrained optimization problem for the Fourier transform: Existence
Dominique Maldague
Among functions majorized by indicator functions of sets with measure one, which functions have maximal Fourier transforms in the norm? We partially prove the existence of su…