Weighted Hardy spaces in the three-parameter case

DOI10.1016/j.jmaa.2010.02.010zbMath1198.42015OpenAlexW2059725019MaRDI QIDQ968856

Zhuo Ping Ruan

Publication date: 10 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.010

zbMATH Keywords

discrete Littlewood-Paley-Stein analysisdiscrete Calderón identityalmost orthogonality estimatethree-parameter weighted Hardy spaces

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) Harmonic analysis in several variables (42B99)

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Cites Work

• Singular integrals on product spaces
• Calderón-Zygmund operators on product spaces
• Two problems of Calderón-Zygmund theory on product-spaces
• Harmonic analysis on product spaces
• Journé's covering lemma and its extension to higher dimensions
• Weighted inequalities for a vector-valued strong maximal function
• A continuous version of duality of \(H^ 1\) with BMO on the bidisc
• A weighted version of Journé's lemma
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• Calderón-Zygmund theory for product domains: H ^p spaces
• A p Weights and Singular Integrals
• H ^p theory for the poly-disc

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