Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals
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Publication:966539
DOI10.1007/s10114-010-8352-8zbMath1192.42014OpenAlexW1970422152MaRDI QIDQ966539
Bo Lin Ma, Guozhen Lu, Ding, Yong
Publication date: 23 April 2010
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-010-8352-8
flag singular integralsdiscrete Littlewood-Paley-Stein analysisdiscrete Calderón reproducing formulasmultiparameter Triebel-Lizorkin spaces
Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)
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Cites Work
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- Non-isotropic flag singular integrals on multi-parameter Hardy spaces
- A discrete transform and decompositions of distribution spaces
- Singular integrals 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
- A continuous version of duality of \(H^ 1\) with BMO on the bidisc
- Multiparameter singular integrals and maximal functions
- Carleson measure on the bi-disc
- Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
- Multiparameter operators and sharp weighted inequalities
- Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
- The Calderon-Zygmund Decomposition on Product Domains
- H p theory for the poly-disc
- Some Maximal Inequalities
- Note on the differentiability of multiple integrals
- Singular integrals with flag kernels and analysis on quadratic CR manifolds
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