Contraction and decoupling inequalities for multilinear forms and u-statistics

de la Pena, V.; Montgomery-Smith, Stephen J.; Szulga, Jerzy

Contraction and decoupling inequalities for multilinear forms and u-statistics

Authors

de la Pena, V.

Montgomery-Smith, Stephen J.

Szulga, Jerzy

Description

We prove decoupling inequalities for random polynomials in independent random variables with coefficients in vector space. We use various means of comparison, including rearrangement invariant norms (e.g., Orlicz and Lorentz norms), tail distributions, tightness, hypercontractivity, etc.