Boundedness of a class of bi-parameter square functions in the upper half-space

DOI10.1016/j.jfa.2014.09.006zbMath1306.42025arXiv1304.5122OpenAlexW2964231174MaRDI QIDQ461704

Henri Martikainen

Publication date: 13 October 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5122

zbMATH Keywords

\(T1\) theorembi-parameter square function

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (6)

On the boundedness of biparameter Littlewood-Paley \(g_\lambda^\ast\)-function ⋮ Hardy space estimates for bi-parameter Littlewood-Paley square functions ⋮ Bi-parameter Littlewood-Paley operators with upper doubling measures ⋮ Non-homogeneous \(T_b\) theorem for bi-parameter \(g\)-function ⋮ Boundedness of bi-parameter Littlewood-Paley operators on product Hardy space ⋮ Boundedness of bi-parameter Littlewood-Paley $g_{\lambda}^*$-function on Hardy spaces

Cites Work

• Unnamed Item
• The sharp weighted bound for general Calderón-Zygmund operators
• Representation of bi-parameter singular integrals by dyadic operators
• Calderón-Zygmund operators on product spaces
• Polynomial growth estimates for multilinear singular integral operators
• The \(Tb\)-theorem on non-homogeneous spaces.
• Non-homogeneous \( T1\) theorem for bi-parameter singular integrals
• Square functions with general measures
• Square Function Estimates and the T(b) Theorem

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