AN ATOMIC DECOMPOSITION FOR HARDY SPACES ASSOCIATED TO SCHRÖDINGER OPERATORS

DOI10.1017/S1446788711001376zbMath1238.42007MaRDI QIDQ3095469

Liang Song, Li Xin Yan, Chao-Qiang Tan

Publication date: 2 November 2011

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatoratomic decompositionHardy spaces

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (9)

The atomic decomposition of weighted Hardy spaces associated to self-adjoint operators on product spaces ⋮ Various characterizations of product Hardy spaces associated to Schrödinger operators ⋮ Isomorphisms of variable Hardy spaces associated with Schrödinger operators ⋮ The weighted Hardy spaces associated to self-adjoint operators and their duality on product spaces ⋮ Characterizations of product Hardy spaces in Bessel setting ⋮ Characterizations of product Hardy space associated to Schrödinger operators ⋮ Herz-type Hardy spaces associated with operators ⋮ Banach space structure of weighted Fock-Sobolev spaces ⋮ Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators

Cites Work

• Unnamed Item
• On the theory of harmonic functions of several variables
• Hardy spaces of differential forms on Riemannian manifolds
• New abstract Hardy spaces
• Hardy and BMO spaces associated to divergence form elliptic operators
• On the atomic decomposition for Hardy spaces
• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• A geometric proof of the strong maximal theorem
• A local version of real Hardy spaces
• Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains
• \(H^p\) spaces of several variables
• The Calderon-Zygmund Decomposition on Product Domains
• A Covering Lemma for Product Spaces
• Calderón-Zygmund theory for product domains: H ^p spaces
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• Gaussian heat kernel upper bounds via the Phragmén-Lindelöf theorem

This page was built for publication: AN ATOMIC DECOMPOSITION FOR HARDY SPACES ASSOCIATED TO SCHRÖDINGER OPERATORS