Journal of Applied Mathematics and Stochastic Analysis
Volume 2008 (2008), Article ID 254897, 22 pages
doi:10.1155/2008/254897
Abstract
Various upper bounds for the L2-norm of the Wick product of two
measurable functions of a random variable X, having finite moments
of any order, together with a universal minimal condition, are proven.
The inequalities involve the second quantization operator of a constant
times the identity operator. Some conditions ensuring that the constants
involved in the second quantization operators are optimal, and interesting
examples satisfying these conditions are also included.