Functions of vanishing mean oscillation associated with operators and applications

DOI10.1307/mmj/1231770358zbMath1158.32002OpenAlexW1968363135MaRDI QIDQ1001941

Liang Song, Donggao Deng, Xuan Thinh Duong, Chao-Qiang Tan, Li Xin Yan

Publication date: 20 February 2009

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1231770358

zbMATH Keywords

dualityfunction spacevanishing mean oscillation

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (14)

A new version of Carleson measure associated with Hermite operator ⋮ Gradient estimates for the commutator with fractional differentiation for second order elliptic perators ⋮ On weak\(^*\)-convergence in \(H^1_L(\mathbb R^d)\) ⋮ Predual spaces of Banach completions of Orlicz-Hardy spaces associated with operators ⋮ The \(\mathrm{CMO}\)-Dirichlet problem for elliptic systems in the upper half-space ⋮ Vanishing mean oscillation spaces associated with operators satisfying Davies-Gaffney estimates ⋮ VMO spaces associated with divergence form elliptic operators ⋮ Unnamed Item ⋮ VMO spaces associated with operators with Gaussian upper bounds on product domains ⋮ Generalized vanishing mean oscillation spaces associated with divergence form elliptic operators ⋮ Fractional Carleson measure associated with Hermite operator ⋮ Functions of vanishing mean oscillation associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates ⋮ VMO spaces associated with Neumann Laplacian ⋮ The CMO-Dirichlet problem for the Schrödinger equation in the upper half-space and characterizations of CMO

Cites Work

• Some new function spaces and their applications to harmonic analysis.
• On the compactness of operators of Hankel type
• Remarks on some subspaces of BMO(\({\mathbb R}^n\)) and of bmo(\({\mathbb R}^n\)).
• Functional calculus on \(BMO\) and related spaces
• \(H^p\) spaces of several variables
• On a generalized Carleson inequality
• On functions of bounded mean oscillation
• Functions of Vanishing Mean Oscillation
• Extensions of Hardy spaces and their use in analysis
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
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