A remark on atomic decompositions of martingale Hardy's spaces

DOI10.1007/s12220-020-00449-4zbMath1471.42045OpenAlexW3037781818MaRDI QIDQ2050701

Maciej Paluszyński, Jacek Zienkiewicz

Publication date: 31 August 2021

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

Full work available at URL: https://doi.org/10.1007/s12220-020-00449-4

zbMATH Keywords

Hardy spaceatomic decompositiondyadic martingale

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Maximal functions, Littlewood-Paley theory (42B25) Generalizations of martingales (60G48) (H^p)-spaces (42B30)

Related Items (2)

Dimension independent atomic decomposition for dyadic martingale \(\mathbb{H}^1\) ⋮ Generalized grand Lorentz martingale spaces

Cites Work

• Martingale Hardy spaces and their applications in Fourier analysis
• Bounded Mean Oscillation and Regulated Martingales
• A characterization of $H^{p}(R^{n})$ in terms of atoms
• A real variable characterization of $H^{p}$
• H p -spaces of martingales, 0<p?1
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