The Littlewood—Paley—Rubio de Francia property of a Banach space for the case of equal intervals

DOI10.1017/S030821050700100XzbMath1173.42010arXiv0807.2981OpenAlexW2963129657MaRDI QIDQ5191248

Dmitry V. Yakubovich, Tuomas P. Hytönen, José Luis Torrea

Publication date: 29 July 2009

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.2981

zbMATH Keywords

Fourier transformmartingalesRademacher systemBanach space of vector valued functionsinequalities of the Littlewood-Parey type

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) Spaces of vector- and operator-valued functions (46E40)

Related Items (4)

On a vector-valued extension of the Littlewood-Paley-Rubio de Francia inequality for Walsh functions ⋮ On the vector-valued Littlewood-Paley-Rubio de Francia inequality ⋮ Fourier multipliers in Banach function spaces with UMD concavifications ⋮ Sharp estimates of noncommutative Bochner-Riesz means on two-dimensional quantum tori

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