Infinite order decoupling of random chaoses in Banach space
Functional Analysis
2016-09-06 v1
Abstract
We prove a number of decoupling inequalities for nonhomogeneous random polynomials with coefficients in Banach space. Degrees of homogeneous components enter into comparison as exponents of multipliers of terms of certain Poincar\'e-type polynomials. It turns out that the fulfillment of most of types of decoupling inequalities may depend on the geometry of Banach space.
Cite
@article{arxiv.math/9211212,
title = {Infinite order decoupling of random chaoses in Banach space},
author = {Jerzy Szulga},
journal= {arXiv preprint arXiv:math/9211212},
year = {2016}
}