A local Hilbert transform, Hardy's inequality and molecular characterization of Goldberg's local Hardy space

DOI10.1007/s40627-019-0036-2zbMath1462.42037OpenAlexW2931294496MaRDI QIDQ830163

Elijah Liflyand, Galia Dafni

Publication date: 7 May 2021

Published in: Complex Analysis and its Synergies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40627-019-0036-2

zbMATH Keywords

Hardy spaceatomic decompositionmoleculesHardy's inequality

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30)

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Fourier transform decay of distributions in Hardy-Morrey spaces ⋮ Inhomogeneous cancellation conditions and Calderón-Zygmund type operators on \(h^p\)

Cites Work

• Some characterizations of local bmo and \(h^1\) on metric measure spaces
• A local version of real Hardy spaces
• A note on Hilbert’s operator
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