Riesz transforms on deformed Fock spaces
type: Item
instance of: scholarly article
title: Riesz transforms on deformed Fock spaces
zbMATH Open document ID: 0977.46044
author: Françoise Lust-Piquard
published in: Communications in Mathematical Physics
publication date: 1999-12-16T00:00:00Z
review text: \(L^p\) spaces \((1< p<\infty)\) are considered on Fock-von Neumann algebras \(\Gamma_A(\mathbb{R}^n)\) and \(\Gamma_{A'}(\mathbb{R}^{2n})\), these algebras being equipped with their canonical traces. The paper extends known results on the \(L^p\) boundedness of some Riesz transforms \({\mathcal R}'= \nabla'N^{\prime-{1\over 2}}\) associated with a number operator \(N'\) and a gradient \(\nabla'\) such that \(\nabla^{\prime *}\nabla'= N'\).
reviewed by: Wojtek Slowikowski
Mathematics Subject Classification ID: 46L60
Mathematics Subject Classification ID: 46L52
Mathematics Subject Classification ID: 47N50
zbMATH DE Number: 1379886
zbMATH Keywords: Fock-von Neumann algebras
zbMATH Keywords: canonical traces
zbMATH Keywords: \(L^p\) boundedness
zbMATH Keywords: Riesz transforms
zbMATH Keywords: number operator
MaRDI profile type: Publication
full work available at URL: s002200050688
OpenAlex ID: W2060103803
DOI: 10.1007/S002200050688
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description: scientific article; zbMATH DE number 1379886