Some estimates for commutators of Riesz transforms associated with Schrödinger operators

DOI10.1016/j.jmaa.2014.04.053zbMath1381.35026OpenAlexW2004063866MaRDI QIDQ2252470

Yu Liu, Jielai Sheng

Publication date: 17 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.04.053

zbMATH Keywords

Hardy spaceSchrödinger operatorreverse Hölder inequalityCampanato spacecommutatorRiesz transform

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Harmonic analysis and PDEs (42B37)

Related Items

Commutator of fractional integral with Lipschitz functions associated with Schrödinger operator on local generalized Morrey spaces ⋮ Commutators associated with Schrödinger operators on the nilpotent Lie group ⋮ Some estimates for Riesz transforms associated with Schrödinger operators ⋮ Morrey-type estimates for commutator of fractional integral associated with Schrödinger operators on the Heisenberg group ⋮ Hardy type estimates for commutators of fractional integrals associated with Schrodinger operators ⋮ Boundedness of high order commutators of Marcinkiewicz integrals associated with Schrödinger operators ⋮ Endpoint estimates for commutators of Riesz transforms related to Schrödinger operators ⋮ \(L^{p}\) estimates for commutators of Riesz transforms associated with Schrödinger operators on stratified groups ⋮ Some estimates for commutators of Riesz transform associated with Schrödinger type operators ⋮ Estimates for the commutators of operator \(V^{\alpha }\nabla (-\Delta +V)^{-\beta }\) ⋮ Higher order commutators of Riesz transforms related to Schrödinger operators

Cites Work

• Unnamed Item
• Commutators of Calderón-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrödinger operators
• Commutators of Riesz transforms related to Schrödinger operators
• Commutators of BMO functions and degenerate Schrödinger operators with certain nonnegative potentials
• Some estimates of higher order Riesz transform related to Schrödinger type operators
• Localized BMO and BLO spaces on RD-spaces and applications to Schrödinger operators
• Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators
• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• A local version of real Hardy spaces
• \(L^p\) estimates of Schrödinger operators on nilpotent groups
• Boundedness of commutators of fractional and singular integrals for the extreme values of \(p\)
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Commutators of higher order Riesz transform associated with Schrödinger operators
• Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
• \(L^p\) boundedness of commutators of Riesz transforms associated to Schrödinger operator
• Boundedness of commutators on Hardy type spaces
• The uncertainty principle
• ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER OPERATORS
• Localized Hardy spaces 𝐻¹ related to admissible functions on RD-spaces and applications to Schrödinger operators
• L^pESTIMATES FOR SCHRÖDINGER TYPE OPERATORS ON THE HEISENBERG GROUP