On the vector-valued Littlewood-Paley-Rubio de Francia inequality

DOI10.4171/RMI/693zbMath1253.46011arXiv1104.2671MaRDI QIDQ446414

Denis Potapov, Quanhua Xu, Pheodor A. Sukochev

Publication date: 6 September 2012

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.2671

zbMATH Keywords

Banach latticesUMD spaceLittlewood-Paley-Rubio de Francia inequality

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Local theory of Banach spaces (46B07) Banach lattices (46B42)

Related Items (5)

Sparse domination implies vector-valued sparse domination ⋮ On a vector-valued extension of the Littlewood-Paley-Rubio de Francia inequality for Walsh functions ⋮ Fourier multipliers in Banach function spaces with UMD concavifications ⋮ On pointwise \(\ell^r\)-sparse domination in a space of homogeneous type ⋮ On the \(R\)-boundedness of stochastic convolution operators

Cites Work

• Interpolation between vector-valued Hardy spaces
• The Littlewood—Paley—Rubio de Francia property of a Banach space for the case of equal intervals
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