We consider the Lp norm estimates for homogeneous polynomials of q-Gaussian variables (-1 ≤ q ≤ 1). When -1 < q < 1 the Lp estimates for 1 ≤ p ≤ 2 are essentially the same as the free case (q = 0), whilst the Lp estimates for 2 ≤ p≤∞ show a strong q-dependence. Moreover, the extremal cases q = ±1 produce decisively different formulae.
ASJC Scopus subject areas
- Applied Mathematics