@inbook{5f75055fa697497eb9a1e40382268f96,
title = "The ℓ s-boundedness of a family of integral operators on UMD banach function spaces",
abstract = "We prove the ℓs-boundedness of a family of integral operators with an operator-valued kernel on UMD Banach function spaces. This generalizes and simplifies earlier work by Gallarati, Veraar and the author, where the ℓs-boundedness of this family of integral operators was shown on Lebesgue spaces. The proof is based on a characterization of ℓs-boundedness as weighted boundedness by Rubio de Francia.",
keywords = "Banach function space, Hardy–Littlewood maximal operator, Integral operator, Muckenhoupt weights, UMD, ℓ-boundedness",
author = "Emiel Lorist",
year = "2019",
doi = "10.1007/978-3-030-10850-2_20",
language = "English",
isbn = "978-3-030-10849-6",
series = "Trends in Mathematics",
publisher = "Birkh{\"a}user",
pages = "365--379",
editor = "G. Buskes and {de Jeu}, M. and P. Dodds and A. Schep and F. Sukochev and {van Neerven}, J.",
booktitle = "Positivity and Noncommutative Analysis",
}