The Herz-boundedness of commutators related to Schrödinger operators in the setting of Heisenberg group
From MaRDI portal
Publication:2134978
DOI10.1007/S40840-022-01261-9zbMath1487.42035OpenAlexW4221023584MaRDI QIDQ2134978
Publication date: 4 May 2022
Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40840-022-01261-9
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) Analysis on other specific Lie groups (43A80)
Cites Work
- Unnamed Item
- Schrödinger type operators on generalized Morrey spaces
- 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
- Endpoint estimates for fractional integral associated to Schrödinger operators on the Heisenberg groups
- The weighted estimates for the operators \(V^{\alpha} ( - \Delta _G+V) ^{- \beta}\) and \(V^{\alpha} \nabla _G( - \Delta _G+V)^{ - \beta}\) on the stratified Lie group \(G\)
- Boundedness for some Schrödinger type operators on Morrey spaces related to certain nonnegative potentials
- Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators
- Estimates for the operators \(V^{\alpha}(-\Delta +V)^{-\beta}\) and \(V^{\alpha} \nabla(-\Delta +V)^{-\beta}\) with certain non-negative potentials \(V\)
- \(L^p\) estimates of Schrödinger operators on nilpotent groups
- \(L^ p\) estimates for Schrödinger operators with certain potentials
- \(L^p\) boundedness of commutator operators associated with a Schrödinger operator on Heisenberg group
- A note for Riesz transforms associated with Schrödinger operators on the Heisenberg group
- \(L^p\) boundedness of commutators of Riesz transforms associated to Schrödinger operator
- The boundedness of commutators associated with Schrödinger operators on Herz spaces
- Global existence and local well-posedness of the 2D viscous shallow water system in Sobolev spaces
- On commutators of fractional integrals
This page was built for publication: The Herz-boundedness of commutators related to Schrödinger operators in the setting of Heisenberg group