Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 270, Issue 2, Pages 649-670Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2015.10.013
Keywords
Gaussian vectors; Hadamard inequality; Variance inequalities; Wiener chaos
Categories
Funding
- (PAMPAS) at Luxembourg University [F1R-MTH-PUL-12PAMP]
Ask authors/readers for more resources
We prove a new family of inequalities involving squares of random variables belonging to the Wiener chaos associated with a given Gaussian field. Our result provides a substantial generalization, as well as a new analytical proof, of an estimate by Frenkel (2007) [10], and also constitutes a natural real counterpart to an inequality established by Arias-de-Reyna (1998) [2] in the framework of complex Gaussian vectors. We further show that our estimates can be used to deduce new lower bounds on homogeneous polynomials, thus partially improving results by Pinasco (2012) [19], as well as to obtain a novel probabilistic representation of the remainder in Hadamard inequality of matrix analysis. (C) 2015 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available