\(L^p\) boundedness of commutator operators associated with a Schrödinger operator on Heisenberg group

DOI10.1016/S0252-9602(12)60039-3zbMath1255.47023MaRDI QIDQ1931201

Pengtao Li, Li Zhong Peng

Publication date: 24 January 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

boundednessSchrödinger operatorsHeisenberg groupRiesz transformscommutator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Eigenvalue problems for linear operators (47A75) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (10)

The Herz-boundedness of commutators related to Schrödinger operators in the setting of Heisenberg group ⋮ Boundedness and compactness of commutators related with Schrödinger operators on Heisenberg groups ⋮ Weighted \(L^p\)-boundedness and \(L^p\)-compactness criteria to commutators of operators with kernels satisfying Hörmander type estimates ⋮ A new class of weights associated with Schrödinger operator on Heisenberg groups and applications ⋮ Semigroup maximal functions, Riesz transforms, and Morrey spaces associated with Schrödinger operators on the Heisenberg groups ⋮ \(L^{p}\) estimates for commutators of Riesz transforms associated with Schrödinger operators on stratified groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note for Riesz transforms associated with Schrödinger operators on the Heisenberg group ⋮ Higher order commutators of Riesz transforms related to Schrödinger operators

This page was built for publication: \(L^p\) boundedness of commutator operators associated with a Schrödinger operator on Heisenberg group