Riesz transforms on deformed Fock spaces

DOI10.1007/s002200050688zbMath0977.46044OpenAlexW2060103803MaRDI QIDQ1809220

Françoise Lust-Piquard

Publication date: 16 December 1999

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050688

zbMATH Keywords

\(L^p\) boundednessRiesz transformsnumber operatorcanonical tracesFock-von Neumann algebras

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative function spaces (46L52)

Related Items (13)

Segal-Bargmann transform: the \(q\)-deformation ⋮ Dimension free estimates for discrete Riesz transforms on products of abelian groups ⋮ Remarks on factoriality and 𝑞-deformations ⋮ Heat-smoothing for holomorphic subalgebras of free group von Neumann algebras ⋮ Fock representations of Q-deformed commutation relations ⋮ Noncommutative Lévy processes for generalized (particularly anyon) statistics ⋮ Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations ⋮ Noncommutative Sobolev spaces, \(C^\infty\) algebras and Schwartz distributions associated with semicircular systems ⋮ Complete gradient estimates of quantum Markov semigroups ⋮ Ornstein-Uhlenbeck semi-groups on stratified groups ⋮ An application of free transport to mixed 𝑞-Gaussian algebras ⋮ Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space ⋮ Contractivity properties of Ornstein-Uhlenbeck semigroup for general commutation relations

This page was built for publication: Riesz transforms on deformed Fock spaces