Dual Spaces of Weighted Multi-Parameter Hardy Spaces Associated with the Zygmund Dilation
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Publication:4898267
DOI10.1515/ans-2012-0306zbMath1275.42031OpenAlexW2510742540MaRDI QIDQ4898267
Xiaolong Han, Ya Yuan Xiao, Guozhen Lu
Publication date: 30 December 2012
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2012-0306
duality theoryweighted Hardy spaceZygmund dilationdiscrete Calderón identitymulti-parameter Hardy space\(A_{\infty}\) weightLittlewood-Paley-Stein analysissup-inf comparison principle
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Boundedness of inhomogeneous Journé's type operators on multi-parameter local Hardy spaces ⋮ Atomic decomposition of weighted multi-parameter mixed Hardy spaces ⋮ Duality of three-parameter Hardy spaces associated with a sum of two flag singular integrals ⋮ The boundedness of operators on weighted multi-parameter local Hardy spaces ⋮ Hörmander type multipliers on anisotropic Hardy spaces ⋮ Discrete Littlewood-Paley-Stein characterization of multi-parameter local Hardy spaces ⋮ Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces ⋮ Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators ⋮ Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals
Cites Work
- Weighted Hardy spaces in the three-parameter case
- A continuous version of duality of \(H^ 1\) with BMO on the bidisc
- A characterization of product BMO by commutators.
- Multiparameter operators and sharp weighted inequalities
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- The strong maximal function with respect to measures
- Characterizations of bounded mean oscillation
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