Hölder-type inequalities for norms of Wick products
type: Item
instance of: scholarly article
title: Hölder-type inequalities for norms of Wick products
zbMATH Open document ID: 1158.60321
DOI: 10.1155/2008/254897
author: A. Lanconelli
author: A. I. Stan
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2008-08-20T00:00:00Z
full work available at URL: https://eudml.org/doc/55242
review text: Summary: Various upper bounds for the \(L^{2}\)-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.
Mathematics Subject Classification ID: 60E15
zbMATH DE Number: 5314240
Wikidata QID: Q58645897
MaRDI profile type: Publication
OpenAlex ID: W1985546625
cites work: Q4789214
cites work: Q4170993
cites work: Q4061445
cites work: On hypercontractivity for multipliers on orthogonal polynomials
description: scientific article; zbMATH DE number 5314240