Work

Monotonicity of functionals associated to product measures via their Fourier transform and applications

Year: 2025

Type: article

Abstract: Let be a probability measure on . We give conditions on the Fourier transform of its density for functionals of the form to be Schur monotone. As applications, we put certain known and new results under the same umbrella, given by a condition on the Fourier transform of the density. These results include certain moment comparisons for independent and identically distributed random vectors, when the norm is given by intersection bodies, and vector‐valued analogues of Khinchin's inequality with respect to appropriate norms. We also extend the discussion to higher dimensions.

Source: Mathematika

DOI: 10.1112/mtk.70056

Author: Andreas Malliaris

Institutions: Centre National de la Recherche Scientifique, Université Toulouse III - Paul Sabatier, Institut National des Sciences Appliquées de Toulouse, Université de Toulouse, Institut de Mathématiques de Toulouse

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funder: Agence Nationale de la Recherche