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Infinite order decoupling of random chaoses in Banach space

Jerzy Szulga
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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.

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Jerzy Szulga. 1992-11-18. Infinite order decoupling of random chaoses in Banach space. https://arxiv.org/abs/math/9211212

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