Commutators of Riesz transforms of magnetic Schrödinger operators

DOI10.1007/s00229-008-0202-yzbMath1153.42007OpenAlexW2091273117MaRDI QIDQ958180

Xuan Thinh Duong, Li Xin Yan

Publication date: 2 December 2008

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-008-0202-y

zbMATH Keywords

BMORiesz transformmagnetic Schrödinger operatorsCommutators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Schrödinger operator, Schrödinger equation (35J10)

Related Items (9)

Musielak-Orlicz Hardy spaces associated to operators satisfying Davies-Gaffney estimates and bounded holomorphic functional calculus ⋮ Maximal function characterizations of Hardy spaces associated with magnetic Schrödinger operators ⋮ Regularity for inhomogeneous Dirichlet problems of some Schrödinger equations on domains ⋮ Estimates for second-order Riesz transforms associated with magnetic Schrödinger operators on Musielak-Orlicz-Hardy spaces ⋮ Limited range extrapolation with quantitative bounds and applications ⋮ Weighted norm inequalities for commutators of BMO functions and singular integral operators with non-smooth kernels ⋮ Maximal function characterizations of Musielak-Orlicz-Hardy spaces associated with magnetic Schrödinger operators ⋮ Hardy spaces associated with magnetic Schrödinger operators on strongly Lipschitz domains ⋮ Riesz transforms associated to Schrödinger operators on weighted Hardy spaces

Cites Work

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• Endpoint estimates for Riesz transforms of magnetic Schrödinger operators
• Factorization theorems for Hardy spaces in several variables
• Mean oscillation and commutators of singular integral operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Maximal inequalities and Riesz transform estimates on \(L^p\) spaces for Schrödinger operators with nonnegative potentials
• Non-Gaussian Aspects of Heat Kernel Behaviour
• Estimates in L^p for magnetic Schrodinger operators
• Commutators of BMO functions and singular integral operators with non-smooth kernels
• Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
• Maximal regularity and kernel bounds: observations on a theorem by Hieber and Prüss

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