Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains

DOI10.1007/BF02922092zbMath1146.42003MaRDI QIDQ2459944

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

Publication date: 9 November 2007

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceholomorphic semigroupCarleson measureBMO spacetent spacethe John-Nirenberg inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)

Related Items (13)

Product Hardy spaces associated to operators with heat kernel bounds on spaces of homogeneous type ⋮ Hardy-Hausdorff spaces on the Heisenberg group ⋮ 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 ⋮ 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 ⋮ Hardy spaces associated to Schrödinger operators on product spaces ⋮ Weighted product Hardy space associated with operators ⋮ Marcinkiewicz-type spectral multipliers on Hardy and Lebesgue spaces on product spaces of homogeneous type ⋮ VMO spaces associated with operators with Gaussian upper bounds on product domains ⋮ Product Hardy, BMO spaces and iterated commutators associated with Bessel Schrodinger operators ⋮ AN ATOMIC DECOMPOSITION FOR HARDY SPACES ASSOCIATED TO SCHRÖDINGER OPERATORS

Cites Work

• Complex interpolation of \(H^ p\) spaces on product domains
• Comparison of the classical BMO with the BMO spaces associated with operators and applications
• Some new function spaces and their applications to harmonic analysis.
• Spaces of Carleson measures: duality and interpolation
• Singular integral operators with non-smooth kernels on irregular domains
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
• \(H^p\) spaces of several variables
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• On functions of bounded mean oscillation
• The Calderon-Zygmund Decomposition on Product Domains
• A Covering Lemma for Product Spaces
• Calderón-Zygmund theory for product domains: H ^p spaces
• H ^p theory for the poly-disc
• Estimates in L^p for magnetic Schrodinger operators
• The square root problem of Kato in one dimension, and first order elliptic systems
• Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
• L P boundedness of area function associated with operators on product spaces
• New function spaces of BMO type, the John‐Nirenberg inequality, interpolation, and applications
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Duality of Hardy and BMO spaces associated with operators with heat kernel bounds on product domains