\(H^p\) boundedness of Calderón-Zygmund operators on product spaces

DOI10.1007/s00209-004-0741-1zbMath1059.42008OpenAlexW2068219606MaRDI QIDQ1772008

Yongsheng Han, Da Chun Yang

Publication date: 14 April 2005

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-004-0741-1

zbMATH Keywords

boundednessCalderón-Zygmund operatornormalized bump function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) (H^p)-spaces (42B30)

Related Items (15)

Mixed Hardy spaces and their applications ⋮ Mixed Lipschitz spaces and their applications ⋮ Boundedness of Marcinkiewicz integrals and their commutators in \(H^{1} (\mathbb R^{n} \times \mathbb R^{m})\) ⋮ The boundedness of multilinear Calderón-Zygmund operators on Hardy spaces ⋮ Characterizations of product Hardy spaces in Bessel setting ⋮ Hardy space estimates for bi-parameter Littlewood-Paley square functions ⋮ A revisit to the atomic decomposition of weighted Hardy spaces ⋮ Anisotropic singular integrals in product spaces ⋮ Boundedness of sublinear operators on product Hardy spaces and its application ⋮ Boundedness of Calderón-Zygmund operators in product Hardy spaces ⋮ Real-variable characterizations of anisotropic product Musielak-Orlicz Hardy spaces ⋮ Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space ⋮ The boundedness on mixed Hardy spaces ⋮ Boundedness of bi-parameter Littlewood-Paley $g_{\lambda}^*$-function on Hardy spaces ⋮ Algebras of Calderón-Zygmund operators on spaces of homogeneous type

Cites Work

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• Singular integrals on product spaces
• Calderón-Zygmund operators on product spaces
• Harmonic analysis on product spaces
• Differentiable control metrics and scaled bump functions.
• On the product theory of singular integrals
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. I
• Marcinkiewicz multipliers and multi-parameter structure on Heisenberg (-type) groups. II
• A Covering Lemma for Product Spaces
• Singular integrals with flag kernels and analysis on quadratic CR manifolds
• The \(\square_b\)-heat equation on pseudoconvex manifolds of finite type in \(\mathbb{C}^2\)

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