Boundedness of singular integrals on Hardy type spaces associated with Schrödinger operators

DOI10.1155/2015/409215zbMath1343.42013OpenAlexW2063446380WikidataQ59112808 ScholiaQ59112808MaRDI QIDQ492531

Jian Feng Dong, Ji Zheng Huang, He Ping Liu

Publication date: 20 August 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/409215

zbMATH Keywords

boundednessSchrödinger operatorsHardy spacessingular integralsmolecular characterization

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (4)

Some estimates for Riesz transforms associated with Schrödinger operators ⋮ Herz-type Hardy spaces associated with operators ⋮ \( \mathrm{H}^\mathrm{p}\) spaces for generalized Schrödinger operators and applications ⋮ Riesz transforms on the Hardy space associated with generalized Schrödinger operators

Cites Work

• \(H^ p\) continuity properties of Calderón-Zygmund-type operators
• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• The uncertainty principle
• H^pspaces associated with Schrödinger operators with potentials from reverse Hölder classes
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