Bilinear decomposition and divergence-curl estimates on products related to local Hardy spaces and their dual spaces

DOI10.1016/j.jfa.2020.108796zbMath1457.42036arXiv2007.02335OpenAlexW3038398523MaRDI QIDQ2215815

Wen Yuan, Yangyang Zhang, Da Chun Yang

Publication date: 14 December 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02335

zbMATH Keywords

Hardy spaceLipschitzlocal Hardy spacebilinear decompositiondivergence-curl estimate

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Multipliers for harmonic analysis in several variables (42B15) (H^p)-spaces (42B30)

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Some applications of the dual spaces of Hardy-amalgam spaces ⋮ Real-variable characterizations of local Orlicz-slice Hardy spaces with application to bilinear decompositions ⋮ Characterizations of pointwise multipliers of Besov spaces in endpoint cases with an application to the duality principle ⋮ Calderón-Zygmund operators and commutators on weak Musielak-Orlicz Hardy spaces ⋮ Pointwise multipliers on Orlicz-Campanato spaces ⋮ Products and commutators of martingales in \(H_1\) and BMO ⋮ Atomic characterization of Musielak-Orlicz-Lorentz Hardy spaces and its applications to real interpolation and boundedness of Calderón-Zygmund operators ⋮ Martingale Musielak-Orlicz-Lorentz Hardy spaces with applications to dyadic Fourier analysis ⋮ Pointwise multipliers on weak Morrey spaces ⋮ Several remarks on Musielak-Orlicz Hardy spaces ⋮ Centered Hardy-Littlewood maximal function on product manifolds

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