Treffer: H$\ddot{\rm o}$lder-type inequalities for norms of Wick products generated by a subclass of Meixner random variables

Title:
H$\ddot{\rm o}$lder-type inequalities for norms of Wick products generated by a subclass of Meixner random variables
Authors:
Stan, Aurel
Publisher Information:
Banff International Research Station for Mathematical Innovation and Discovery
Publication Year:
2018
Collection:
University of British Columbia: cIRcle - UBC's Information Repository
Subject Terms:
Mathematics, Probability theory and stochastic processes, Quantum theory
Subject Geographic:
Oaxaca (Mexico : State)
Document Type:
Video moving image (video)
File Description:
56.0; video/mp4
Language:
English
Relation:
18w5059: Quantum Transport Equations and Applications; BIRS Workshop Lecture Videos (Oaxaca (Mexico : State)); BIRS-VIDEO-201809031630-Stan; BIRS-VIDEO-18w5059-29429; http://hdl.handle.net/2429/68799
Availability:
http://hdl.handle.net/2429/68799
Rights:
Attribution-NonCommercial-NoDerivatives 4.0 International ; http://creativecommons.org/licenses/by-nc-nd/4.0/
Accession Number:
edsbas.BA3298B5
Database:
BASE

Weitere Informationen

The class of Meixner random variables can be described in terms of a Lie Algebra structure generated by their quantum operators. This Lie Algebra structure is useful in computing first the kernels that give the second quantization operators, and then the Wick products generated by these random variables. We restrict our attention to three of the most important types of Meixner random variables: Gaussian, Poisson, and Gamma, and present some H Ì older inequalities for the norms of the Wick products generated by them. We show that these inequalities are related to sharp inequalities from classic Harmonic Analysis concerning the norms of some convolution-type products ; Non UBC ; Unreviewed ; Author affiliation: Ohio State University at Marion ; Faculty