New real-variable characterizations of Hardy spaces associated with twisted convolution

DOI10.1186/s13660-015-0687-3zbMath1335.42019OpenAlexW1589934670WikidataQ59435166 ScholiaQ59435166MaRDI QIDQ264423

Zhou Xing, Ji Zheng Huang

Publication date: 31 March 2016

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

Full work available at URL: https://doi.org/10.1186/s13660-015-0687-3

zbMATH Keywords

area integralLittlewood-Paley \(g\)-functionHardy spacesPoisson maximal functiontwisted convolutions

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

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Cites Work

• Molecular characterization of Hardy spaces associated with twisted convolution
• The boundedness of Weyl multiplier on Hardy spaces associated with twisted convolution
• Some new function spaces and their applications to harmonic analysis.
• The Weyl transform and bounded operators on \(L^p(\mathbb{R}^n)\).
• A Hardy space associated with twisted convolution
• Hardy spaces and divergence operators on strongly Lipschitz domains of \(\mathbb R^n\)
• \(\mathcal H^p\)-boundedness of Weyl multipliers
• An algebra of pseudodifferential operators and quantum mechanics in phase space
• The multiplicative Weyl functional calculus
• SOME CHARACTERIZATIONS OF HARDY SPACES ASSOCIATED WITH TWISTED CONVOLUTION
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)
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