The BMO\(_L\) space and Riesz transforms associated with Schrödinger operators

DOI10.1007/s10114-010-8115-6zbMath1196.42012OpenAlexW2016407539MaRDI QIDQ966547

Jian Feng Dong, He Ping Liu

Publication date: 23 April 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8115-6

zbMATH Keywords

Schrödinger operatorBMO spaceRiesz transformreverse Hölder class

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (8)

Variation operators for semigroups and Riesz transforms acting on weighted \(L^p\) and BMO spaces in the Schrödinger setting ⋮ \(\operatorname{bmo}_{\rho}(\omega)\) spaces and Riesz transforms associated to Schrödinger operators ⋮ Some estimates for Riesz transforms associated with Schrödinger operators ⋮ Variation operators for semigroups and Riesz transforms on \(BMO\) in the Schrödinger setting ⋮ The higher order Riesz transform and \(BMO\) type space associated with Schrödinger operators on stratified Lie groups ⋮ Boundedness for Marcinkiewicz integrals associated with Schrödinger operators ⋮ BLO estimates for Marcinkiewicz integrals associated with Schrödinger operators ⋮ BMO-type estimates of Riesz transforms associated with generalized Schrödinger operators

Cites Work

• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• \(H^p\) spaces of several variables
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