Hardy spaces associated to Schrödinger operators on product spaces

DOI10.1155/2012/179015zbMath1247.42019OpenAlexW1963604032WikidataQ58908144 ScholiaQ58908144MaRDI QIDQ416305

Liang Song, Chao-Qiang Tan

Publication date: 10 May 2012

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

Full work available at URL: https://doi.org/10.1155/2012/179015

zbMATH Keywords

Hardy spacemaximal functionatomheat semigroupPoisson semigroupproduct spacearea functionSchrödiner operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30)

Related Items (3)

Characterizations of product Hardy space associated to Schrödinger operators ⋮ Weighted product Hardy space associated with operators ⋮ Herz-type Hardy spaces associated with operators

Cites Work

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• Complex interpolation of \(H^ p\) spaces on product domains
• Analyse sur les groupes de Lie à croissance polynômiale. (Analysis on Lie groups of polynomial growth)
• Discrete Calderón's identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces
• Hardy and BMO spaces associated to divergence form elliptic operators
• Some new function spaces and their applications to harmonic analysis.
• Spaces of Carleson measures: duality and interpolation
• Harmonic analysis on product spaces
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains
• Semigroup kernels, Poisson bounds, and holomorphic functional calculus
• Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
• The Calderon-Zygmund Decomposition on Product Domains
• A Covering Lemma for Product Spaces
• Beijing Lectures in Harmonic Analysis. (AM-112)
• Calderón-Zygmund theory for product domains: H ^p spaces
• H ^p theory for the poly-disc
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem

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