ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER OPERATORS

DOI10.1017/S0004972710000390zbMath1210.47048MaRDI QIDQ3065418

Pengtao Li, Li Zhong Peng

Publication date: 5 January 2011

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorBMOcommutatorRiesz transform\(H^1_L\)

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Eigenvalue problems for linear operators (47A75) Channel models (including quantum) in information and communication theory (94A40) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (12)

Endpoint estimates for commutators of singular integrals related to Schrödinger operators ⋮ Commutators of Calderón-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrödinger operators ⋮ Some estimates for Riesz transforms associated with Schrödinger operators ⋮ Commutators of higher order Riesz transform associated with Schrödinger operators ⋮ Endpoint estimates for commutators of Riesz transforms related to Schrödinger operators ⋮ Some estimates for commutators of Riesz transforms associated with Schrödinger operators ⋮ Hardy type estimates for Riesz transforms associated with Schrödinger operators ⋮ A compactness criterion and application to the commutators associated with Schrödinger operators ⋮ Weighted endpoint estimates for commutators of Riesz transforms associated with Schrödinger operators ⋮ 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
• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• \(L^p\) estimates of Schrödinger operators on nilpotent groups
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• Endpoint estimates for commutators of singular integral operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• \(L^p\) boundedness of commutators of Riesz transforms associated to Schrödinger operator

This page was built for publication: ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER OPERATORS