On the product of functions in BMO and \(H^1\) over spaces of homogeneous type

DOI10.1016/j.jmaa.2014.12.057zbMath1334.46024arXiv1407.0280OpenAlexW2021747968MaRDI QIDQ2512674

Luong Dang Ky

Publication date: 30 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.0280

zbMATH Keywords

Hardy spaceatomic decompositionBMOadmissible functionspace of homogeneous typeMusielak-Orlicz function

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items

Wavelet characterizations of the atomic Hardy space \(H^{1}\) on spaces of homogeneous type ⋮ Products of functions in \(\mathrm {BMO}({\mathcal X})\) and \(H^1_{\mathrm{at}}({\mathcal X})\) via wavelets over spaces of homogeneous type ⋮ Real-variable characterizations of Musielak–Orlicz Hardy spaces on spaces of homogeneous type ⋮ Bilinear decompositions for products of Hardy and Lipschitz spaces on spaces of homogeneous type ⋮ Products of functions in \(H^1_{\rho}(\mathcal {X})\) and \(\mathrm {BMO}_{\rho }(\mathcal {X})\) over RD-spaces and applications to Schrödinger operators ⋮ Endpoint boundedness of linear commutators on local Hardy spaces over metric measure spaces of homogeneous type ⋮ Pointwise multipliers on weak Morrey spaces ⋮ Pointwise multipliers of Zygmund classes on \(\mathbb{R}^n\) ⋮ Several remarks on Musielak-Orlicz Hardy spaces ⋮ Besov and Triebel–Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón–Zygmund operators

Cites Work

• Paraproducts and products of functions in \(BMO(\mathbb R^n)\) and \(\mathcal H^1(\mathbb R^n)\) through wavelets
• Products of functions in BMO and \(\mathcal H^1\) spaces on spaces of homogeneous type
• The decomposition of product space \(H^1_L \times BMO_L\)
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• On the product of functions in BMO and H\(^1\)
• Bilinear decompositions for the product space HL1×BMOL
• Localized Hardy spaces 𝐻¹ related to admissible functions on RD-spaces and applications to Schrödinger operators
• Littlewood–Paley characterizations for Hardy spaces on spaces of homogeneous type
• Localized Morrey-Campanato spaces on metric measure spaces and applications to Schrüdinger operators
• Extensions of Hardy spaces and their use in analysis
• Pointwise multipliers on weighted BMO spaces
• Radial maximal function characterizations for Hardy spaces on RD-spaces