On Hardy spaces associated with certain Schrödinger operators in dimension 2

DOI10.4171/RMI/702zbMath1364.42027OpenAlexW2048885135MaRDI QIDQ1759757

Jacek Dziubański, Jacek Zienkiewicz

Publication date: 22 November 2012

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/702

zbMATH Keywords

Schrödinger operatorHardy spacesmaximal functions

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30)

Related Items (6)

Hardy and Carleson measure spaces associated with operators on spaces of homogeneous type ⋮ Sharp endpoint results for imaginary powers and Riesz transforms on certain noncompact manifolds ⋮ Hardy spaces meet harmonic weights ⋮ A characterization of Hardy spaces associated with certain Schrödinger operators ⋮ On isomorphisms of Hardy spaces associated with Schrödinger operators ⋮ Local atomic decompositions for multidimensional Hardy spaces

Cites Work

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• New abstract Hardy spaces
• 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
• Hardy spaces \(H^1\) for Schrödinger operators with compactly supported potentials
• A real variable characterization of $H^{p}$
• Hardy spaces H¹for Schrödinger operators with certain potentials
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• Atomic characterization of the Hardy space 𝐻¹_{𝐿}(ℝ) of one-dimensional Schrödinger operators with nonnegative potentials

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